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100001220200020 = 22541792715696329
BaseRepresentation
bin10110101111001101011001…
…001101010000011001010100
3111010002000121222100010001001
4112233031121031100121110
5101101404444332400040
6552403532031513044
730030564313521556
oct2657153115203124
9433060558303031
10100001220200020
112995530885a547
12b270aa6388784
1343a50c7b908a9
141a9a128cbd4d6
15b863db99a59a
hex5af359350654

100001220200020 has 96 divisors (see below), whose sum is σ = 218651576371200. Its totient is φ = 38388693657600.

The previous prime is 100001220200017. The next prime is 100001220200093. The reversal of 100001220200020 is 20002022100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14707216 + ... + 20403544.

It is an arithmetic number, because the mean of its divisors is an integer number (2277620587200).

Almost surely, 2100001220200020 is an apocalyptic number.

100001220200020 is a gapful number since it is divisible by the number (10) 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 100001220200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109325788185600).

100001220200020 is an abundant number, since it is smaller than the sum of its proper divisors (118650356171180).

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

100001220200020 is a wasteful number, since it uses less digits than its factorization.

100001220200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696729 (or 5696727 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100001220200020 its reverse (20002022100001), we get a palindrome (120003242300021).

The spelling of 100001220200020 in words is "one hundred trillion, one billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 79 82 158 164 205 271 316 395 410 542 790 820 1084 1355 1580 2710 3239 5420 6478 11111 12956 16195 21409 22222 32390 42818 44444 55555 64780 85636 107045 111110 214090 222220 428180 877769 1755538 3511076 4388845 5696329 8777690 11392658 17555380 22785316 28481645 56963290 113926580 233549489 450009991 467098978 900019982 934197956 1167747445 1543705159 1800039964 2250049955 2335494890 3087410318 4500099910 4670989780 6174820636 7718525795 9000199820 15437051590 18450409631 30874103180 36900819262 63291911519 73801638524 92252048155 121952707561 126583823038 184504096310 243905415122 253167646076 316459557595 369008192620 487810830244 609763537805 632919115190 1219527075610 1265838230380 2439054151220 5000061010001 10000122020002 20000244040004 25000305050005 50000610100010 100001220200020