Search a number
-
+
133531545656103 = 37293117343993131
BaseRepresentation
bin11110010111001000111100…
…010110000101101100100111
3122111210111021000012122101220
4132113020330112011230213
5120000240101141443403
61151555313433351423
740061223116405130
oct3627107426055447
9574714230178356
10133531545656103
11396024573a9771
1212b87384568573
135967c808b434a
1424d8d65b0cc87
1510686de0b1953
hex79723c585b27

133531545656103 has 128 divisors (see below), whose sum is σ = 219039311462400. Its totient is φ = 70721700134400.

The previous prime is 133531545656053. The next prime is 133531545656141. The reversal of 133531545656103 is 301656545135331.

It is not a de Polignac number, because 133531545656103 - 225 = 133531512101671 is a prime.

It is a super-2 number, since 2×1335315456561032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133531545656603) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1433756848 + ... + 1433849978.

It is an arithmetic number, because the mean of its divisors is an integer number (1711244620800).

Almost surely, 2133531545656103 is an apocalyptic number.

133531545656103 is a deficient number, since it is larger than the sum of its proper divisors (85507765806297).

133531545656103 is a wasteful number, since it uses less digits than its factorization.

133531545656103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93813.

The product of its (nonzero) digits is 7290000, while the sum is 51.

The spelling of 133531545656103 in words is "one hundred thirty-three trillion, five hundred thirty-one billion, five hundred forty-five million, six hundred fifty-six thousand, one hundred three".

Divisors: 1 3 7 21 29 31 87 93 173 203 217 439 519 609 651 899 1211 1317 2697 3073 3633 5017 5363 6293 9219 12731 13609 15051 16089 18879 35119 37541 38193 40827 75947 89117 93131 95263 105357 112623 155527 227841 267351 279393 285789 394661 466581 531629 651917 1088689 1183983 1594887 1955751 2202463 2354357 2700799 2762627 2887061 3266067 6607389 7063071 8102397 8287881 8661183 15417241 16111663 16480499 18905593 20209427 40884509 46251723 48334989 49441497 56716779 60628281 68276353 83724769 112781641 122653527 204829059 251174307 286191563 338344923 467238227 477934471 499461553 586073383 858574689 1185650761 1267419779 1401714681 1433803413 1498384659 1758220149 3270667589 3496230871 3556952283 3802259337 7073020057 8299555327 8871938453 9812002767 10488692613 14484385037 21219060171 24898665981 26615815359 36755173591 43453155111 49511140399 101390695259 110265520773 148533421197 205117581653 219263621767 257286215137 304172085777 615352744959 657790865301 771858645411 1435823071571 1534845352369 4307469214713 4604536057107 6358645031243 19075935093729 44510515218701 133531545656103