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10022103111312 = 24321731132064399
BaseRepresentation
bin1001000111010111001111…
…1001010101011010010000
31022111002210121010122102200
42101311303321111122100
52303200231344030222
633152031323243200
72053034025604125
oct221656371253220
938432717118380
1010022103111312
113214393a26766
12115a426079500
13579107470206
1426910287074c
15125a7063ceac
hex91d73e55690

10022103111312 has 120 divisors (see below), whose sum is σ = 30655845043200. Its totient is φ = 3042763729920.

The previous prime is 10022103111283. The next prime is 10022103111323. The reversal of 10022103111312 is 21311130122001.

10022103111312 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 0 + 311 + 131 + 2 = 666.

10022103111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100221031113122 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65956312 + ... + 66108087.

It is an arithmetic number, because the mean of its divisors is an integer number (255465375360).

Almost surely, 210022103111312 is an apocalyptic number.

10022103111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022103111312 is an abundant number, since it is smaller than the sum of its proper divisors (20633741931888).

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

10022103111312 is a wasteful number, since it uses less digits than its factorization.

10022103111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132064461 (or 132064452 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10022103111312 its reverse (21311130122001), we get a palindrome (31333233233313).

The spelling of 10022103111312 in words is "ten trillion, twenty-two billion, one hundred three million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 18972 25296 37944 75888 132064399 264128798 396193197 528257596 792386394 1056515192 1188579591 1584772788 2113030384 2245094783 2377159182 3169545576 4093996369 4490189566 4754318364 6339091152 6735284349 8187992738 8980379132 9508636728 12281989107 13470568698 16375985476 17960758264 19017273456 20205853047 24563978214 26941137396 32751970952 35921516528 36845967321 40411706094 49127956428 53882274792 65503941904 69597938273 73691934642 80823412188 98255912856 107764549584 139195876546 147383869284 161646824376 196511825712 208793814819 278391753092 294767738568 323293648752 417587629638 556783506184 589535477136 626381444457 835175259276 1113567012368 1252762888914 1670350518552 2505525777828 3340701037104 5011051555656 10022103111312