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22131024451104 = 2531729216124467
BaseRepresentation
bin1010000100000110001111…
…10110011101011000100000
32220100201001010221002222010
411002003013312131120200
510400043314224413404
6115022504031512520
74442625263003142
oct502030766353040
986321033832863
1022131024451104
117062795391258
122595183388740
13c46c3ca3b1ca
1456720c28ac92
15285a2aad8189
hex1420c7d9d620

22131024451104 has 144 divisors (see below), whose sum is σ = 63705451144608. Its totient is φ = 6703649992704.

The previous prime is 22131024451099. The next prime is 22131024451111. The reversal of 22131024451104 is 40115442013122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6689722 + ... + 9434745.

It is an arithmetic number, because the mean of its divisors is an integer number (442398966282).

Almost surely, 222131024451104 is an apocalyptic number.

22131024451104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22131024451104 is an abundant number, since it is smaller than the sum of its proper divisors (41574426693504).

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

22131024451104 is a wasteful number, since it uses less digits than its factorization.

22131024451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16124555 (or 16124518 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 22131024451104 its reverse (40115442013122), we get a palindrome (62246466464226).

The spelling of 22131024451104 in words is "twenty-two trillion, one hundred thirty-one billion, twenty-four million, four hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 841 928 986 1392 1479 1632 1682 1972 2523 2784 2958 3364 3944 5046 5916 6728 7888 10092 11832 13456 14297 15776 20184 23664 26912 28594 40368 42891 47328 57188 80736 85782 114376 171564 228752 343128 457504 686256 1372512 16124467 32248934 48373401 64497868 96746802 128995736 193493604 257991472 274115939 386987208 467609543 515982944 548231878 773974416 822347817 935219086 1096463756 1402828629 1547948832 1644695634 1870438172 2192927512 2805657258 3289391268 3740876344 4385855024 5611314516 6578782536 7481752688 7949362231 8771710048 11222629032 13157565072 13560676747 14963505376 15898724462 22445258064 23848086693 26315130144 27121353494 31797448924 40682030241 44890516128 47696173386 54242706988 63594897848 81364060482 95392346772 108485413976 127189795696 162728120964 190784693544 216970827952 230531504699 254379591392 325456241928 381569387088 433941655904 461063009398 650912483856 691594514097 763138774176 922126018796 1301824967712 1383189028194 1844252037592 2766378056388 3688504075184 5532756112776 7377008150368 11065512225552 22131024451104