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133020346004403 = 311131979331624097
BaseRepresentation
bin11110001111101100110110…
…011110001011001110110011
3122102222121202121212200021120
4132033230312132023032303
5114413401132034120103
61150524411530553323
740006255115145624
oct3617546636131663
9572877677780246
10133020346004403
1139425680539180
1212b04298898843
13592b9c3377340
1424bc30d2c7a4b
15105a270103253
hex78fb3678b3b3

133020346004403 has 128 divisors (see below), whose sum is σ = 222782016307200. Its totient is φ = 69397478092800.

The previous prime is 133020346004389. The next prime is 133020346004423. The reversal of 133020346004403 is 304400643020331.

It is not a de Polignac number, because 133020346004403 - 222 = 133020341810099 is a prime.

It is a super-2 number, since 2×1330203460044032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (133020346004423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212828451 + ... + 213452547.

It is an arithmetic number, because the mean of its divisors is an integer number (1740484502400).

Almost surely, 2133020346004403 is an apocalyptic number.

133020346004403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133020346004403 is a deficient number, since it is larger than the sum of its proper divisors (89761670302797).

133020346004403 is a wasteful number, since it uses less digits than its factorization.

133020346004403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624553.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 133020346004403 its reverse (304400643020331), we get a palindrome (437420989024734).

The spelling of 133020346004403 in words is "one hundred thirty-three trillion, twenty billion, three hundred forty-six million, four thousand, four hundred three".

Divisors: 1 3 11 13 19 33 39 57 79 143 209 237 247 331 429 627 741 869 993 1027 1501 2607 2717 3081 3641 4303 4503 6289 8151 10923 11297 12909 16511 18867 19513 26149 33891 47333 49533 58539 69179 78447 81757 141999 207537 214643 245271 287639 339937 496831 624097 643929 862917 899327 1019811 1490493 1872291 2697981 3739307 5465141 6458803 6865067 8113261 11217921 11857843 16395423 19376409 20595201 24339783 35573529 49303663 71046833 89245871 130436273 147910989 154151959 206576107 213140499 267737613 391308819 462455877 542340293 619728321 640947619 936769597 1627020879 1695671549 1922842857 2272337177 2685489391 2810308791 3924946033 5087014647 6817011531 7050423809 8056468173 10304465567 11774838099 12178004761 16319512453 21151271427 29540383301 30913396701 36534014283 43174406363 48958537359 51024298429 88621149903 129523219089 133958052371 153072895287 179514636983 212153661889 310070736607 401874157113 538543910949 561267282719 636460985667 930212209821 1683801848157 2333690280779 3410778102677 4030919575891 7001070842337 10232334308031 12092758727673 44340115334801 133020346004403