Search a number
-
+
100001110202224 = 247114716071074683
BaseRepresentation
bin10110101111001101010010…
…101001101001011101110000
3111010002000100022100122102121
4112233031102221221131300
5101101404233202432344
6552403513102124024
730030561506536360
oct2657152251513560
9433060308318377
10100001110202224
112995526175a580
12b270a75580614
1343a50ab15953a
141a9a1184489a0
15b863d1ebd684
hex5af352a69770

100001110202224 has 160 divisors (see below), whose sum is σ = 246854467731456. Its totient is φ = 38108739567360.

The previous prime is 100001110202207. The next prime is 100001110202249. The reversal of 100001110202224 is 422202011100001.

It is a super-3 number, since 3×1000011102022243 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100001110202198 and 100001110202207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92514387 + ... + 93589069.

Almost surely, 2100001110202224 is an apocalyptic number.

100001110202224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001110202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123427233865728).

100001110202224 is an abundant number, since it is smaller than the sum of its proper divisors (146853357529232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001110202224 is a wasteful number, since it uses less digits than its factorization.

100001110202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076363 (or 1076357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100001110202224 its reverse (422202011100001), we get a palindrome (522203121302225).

The spelling of 100001110202224 in words is "one hundred trillion, one billion, one hundred ten million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 154 176 188 308 329 376 517 616 658 752 1034 1232 1316 1607 2068 2632 3214 3619 4136 5264 6428 7238 8272 11249 12856 14476 17677 22498 25712 28952 35354 44996 57904 70708 75529 89992 123739 141416 151058 179984 247478 282832 302116 494956 528703 604232 830819 989912 1057406 1074683 1208464 1661638 1979824 2114812 2149366 3323276 4229624 4298732 5815733 6646552 7522781 8459248 8597464 11631466 11821513 13293104 15045562 17194928 23262932 23643026 30091124 46525864 47286052 50510101 60182248 82750591 93051728 94572104 101020202 120364496 165501182 189144208 202040404 331002364 353570707 404080808 555611111 662004728 707141414 808161616 1111222222 1324009456 1414282828 1727015581 2222444444 2828565656 3454031162 3889277777 4444888888 5657131312 6908062324 7778555554 8889777776 12089109067 13816124648 15557111108 18997171391 24178218134 27632249296 31114222216 37994342782 48356436268 62228444432 75988685564 81169732307 96712872536 132980199737 151977371128 162339464614 193425745072 265960399474 303954742256 324678929228 531920798948 568188126149 649357858456 892867055377 1063841597896 1136376252298 1298715716912 1785734110754 2127683195792 2272752504596 3571468221508 4545505009192 6250069387639 7142936443016 9091010018384 12500138775278 14285872886032 25000277550556 50000555101112 100001110202224