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10020112033032 = 23321912203600233
BaseRepresentation
bin1001000111001111110100…
…1101111110010100001000
31022110220122211120101111200
42101303331031332110020
52303132142140024112
633151101555424200
72052633500661153
oct221637515762410
938426584511450
1010020112033032
113213562023122
121159b6b2b5060
13578b7aaca99a
14268d94258c9a
151259a593dcdc
hex91cfd37e508

10020112033032 has 96 divisors (see below), whose sum is σ = 28568497370400. Its totient is φ = 3163981333248.

The previous prime is 10020112032949. The next prime is 10020112033033. The reversal of 10020112033032 is 23033021102001.

10020112033032 is a `hidden beast` number, since 10 + 0 + 201 + 120 + 330 + 3 + 2 = 666.

It is a super-2 number, since 2×100201120330322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10020112032996 and 10020112033014.

It is not an unprimeable number, because it can be changed into a prime (10020112033033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16393588 + ... + 16993820.

It is an arithmetic number, because the mean of its divisors is an integer number (297588514275).

Almost surely, 210020112033032 is an apocalyptic number.

10020112033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020112033032 is an abundant number, since it is smaller than the sum of its proper divisors (18548385337368).

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

10020112033032 is a wasteful number, since it uses less digits than its factorization.

10020112033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612467 (or 612460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10020112033032 its reverse (23033021102001), we get a palindrome (33053133135033).

The spelling of 10020112033032 in words is "ten trillion, twenty billion, one hundred twelve million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 12203 24406 36609 48812 73218 97624 109827 146436 219654 231857 292872 439308 463714 600233 695571 878616 927428 1200466 1391142 1800699 1854856 2086713 2400932 2782284 3601398 4173426 4801864 5402097 5564568 7202796 8346852 10804194 11404427 14405592 16693704 21608388 22808854 34213281 43216776 45617708 68426562 91235416 102639843 136853124 205279686 273706248 410559372 821118744 7324643299 14649286598 21973929897 29298573196 43947859794 58597146392 65921789691 87895719588 131843579382 139168222681 175791439176 263687158764 278336445362 417504668043 527374317528 556672890724 835009336086 1113345781448 1252514004129 1670018672172 2505028008258 3340037344344 5010056016516 10020112033032