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133422114303104 = 27112910132352347
BaseRepresentation
bin11110010101100011000001…
…101110100110110010000000
3122111102000210112210221001212
4132111203001232212302000
5114441441442230144404
61151433134555545252
740050300241301504
oct3625430156466200
9574360715727055
10133422114303104
1139570001242560
1212b6a12415b228
13595a861156273
1424d3944270304
151065936d9206e
hex7958c1ba6c80

133422114303104 has 128 divisors (see below), whose sum is σ = 302934445732800. Its totient is φ = 57975404032000.

The previous prime is 133422114303103. The next prime is 133422114303119. The reversal of 133422114303104 is 401303411224331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1334221143031042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (133422114303103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12052142 + ... + 20300205.

Almost surely, 2133422114303104 is an apocalyptic number.

It is an amenable number.

133422114303104 is an abundant number, since it is smaller than the sum of its proper divisors (169512331429696).

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

133422114303104 is a wasteful number, since it uses less digits than its factorization.

133422114303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32352502 (or 32352490 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 133422114303104 its reverse (401303411224331), we get a palindrome (534725525527435).

The spelling of 133422114303104 in words is "one hundred thirty-three trillion, four hundred twenty-two billion, one hundred fourteen million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 101 116 128 176 202 232 319 352 404 464 638 704 808 928 1111 1276 1408 1616 1856 2222 2552 2929 3232 3712 4444 5104 5858 6464 8888 10208 11716 12928 17776 20416 23432 32219 35552 40832 46864 64438 71104 93728 128876 142208 187456 257752 374912 515504 1031008 2062016 4124032 32352347 64704694 129409388 258818776 355875817 517637552 711751634 938218063 1035275104 1423503268 1876436126 2070550208 2847006536 3267587047 3752872252 4141100416 5694013072 6535174094 7505744504 10320398693 11388026144 13070348188 15011489008 20640797386 22776052288 26140696376 30022978016 35943457517 41281594772 45552104576 52281392752 60045956032 71886915034 82563189544 94760024363 104562785504 120091912064 143773830068 165126379088 189520048726 209125571008 287547660136 330252758176 379040097452 418251142016 575095320272 660505516352 758080194904 1042360267993 1150190640544 1321011032704 1516160389808 2084720535986 2300381281088 3032320779616 4169441071972 4600762562176 6064641559232 8338882143944 12129283118464 16677764287888 33355528575776 66711057151552 133422114303104