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10010112101192 = 2374773338915373
BaseRepresentation
bin1001000110101010100100…
…1011010000101101001000
31022102221211220221012212202
42101222221023100231020
52303001202144214232
633142325414255332
72052130623652010
oct221525113205510
938387756835782
1010010112101192
11320a2a0355345
12115803a357548
13577c46135558
142686c6112c40
151255bca96162
hex91aa92d0b48

10010112101192 has 128 divisors (see below), whose sum is σ = 22214716646400. Its totient is φ = 4139761747968.

The previous prime is 10010112101177. The next prime is 10010112101203. The reversal of 10010112101192 is 29110121101001.

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, 651141218 + ... + 651156590.

It is an arithmetic number, because the mean of its divisors is an integer number (173552473800).

Almost surely, 210010112101192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010112101192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107358323200).

10010112101192 is an abundant number, since it is smaller than the sum of its proper divisors (12204604545208).

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

10010112101192 is a wasteful number, since it uses less digits than its factorization.

10010112101192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18895 (or 18891 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 10010112101192 its reverse (29110121101001), we get a palindrome (39120233202193).

The spelling of 10010112101192 in words is "ten trillion, ten billion, one hundred twelve million, one hundred one thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 47 56 73 94 146 188 292 329 376 511 584 658 1022 1316 2044 2632 3389 3431 4088 6778 6862 13556 13724 15373 23723 24017 27112 27448 30746 47446 48034 61492 94892 96068 107611 122984 159283 189784 192136 215222 247397 318566 430444 494794 637132 722531 860888 989588 1114981 1122229 1274264 1445062 1731779 1979176 2229962 2244458 2890124 3463558 4459924 4488916 5057717 5780248 6927116 7855603 8919848 8977832 10115434 11627659 13854232 15711206 20230868 23255318 31422412 40461736 46510636 52099097 52744763 62844824 81393613 93021272 104198194 105489526 162787226 208396388 210979052 325574452 364693679 369213341 416792776 421958104 651148904 729387358 738426682 1458774716 1476853364 2448657559 2917549432 2953706728 3803234081 4897315118 7606468162 9794630236 15212936324 17140602913 19589260472 26622638567 30425872648 34281205826 53245277134 68562411652 106490554268 137124823304 178752001807 212981108536 357504003614 715008007228 1251264012649 1430016014456 2502528025298 5005056050596 10010112101192