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1020111109992 = 23321310867100291
BaseRepresentation
bin11101101100000110101…
…11000011111101101000
310121112002022000122222200
432312003113003331220
5113203141421004432
62100344345220200
7133462206236532
oct16660327037550
93545068018880
101020111109992
11363699144557
12145855191660
13752719a6b20
14375333b2852
151b80712da7c
hexed835c3f68

1020111109992 has 96 divisors (see below), whose sum is σ = 2975627534880. Its totient is φ = 313848328320.

The previous prime is 1020111109991. The next prime is 1020111109993. The reversal of 1020111109992 is 2999011110201.

It is an interprime number because it is at equal distance from previous prime (1020111109991) and next prime (1020111109993).

It is a super-2 number, since 2×10201111099922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1020111109991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10121367 + ... + 10221657.

It is an arithmetic number, because the mean of its divisors is an integer number (30996120155).

Almost surely, 21020111109992 is an apocalyptic number.

1020111109992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020111109992 is an abundant number, since it is smaller than the sum of its proper divisors (1955516424888).

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

1020111109992 is a wasteful number, since it uses less digits than its factorization.

1020111109992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111183 (or 111176 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 36.

The spelling of 1020111109992 in words is "one trillion, twenty billion, one hundred eleven million, one hundred nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 10867 21734 32601 43468 65202 86936 97803 100291 130404 141271 195606 200582 260808 282542 300873 391212 401164 423813 565084 601746 782424 802328 847626 902619 1130168 1203492 1271439 1303783 1695252 1805238 2406984 2542878 2607566 3390504 3610476 3911349 5085756 5215132 7220952 7822698 10171512 10430264 11734047 15645396 23468094 31290792 46936188 93872376 1089862297 2179724594 3269586891 4359449188 6539173782 8718898376 9808760673 13078347564 14168209861 19617521346 26156695128 28336419722 39235042692 42504629583 56672839444 78470085384 85009259166 113345678888 127513888749 170018518332 255027777498 340037036664 510055554996 1020111109992