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133121124552 = 233136731720089
BaseRepresentation
bin111101111111010100…
…0110010100011001000
3110201121102212210121110
41323332220302203020
54140113001441202
6141053251410320
712421602613563
oct1737650624310
9421542783543
10133121124552
115150244a209
1221971bb39a0
13c7266b7ab0
14662bc014da
1536e1d8126c
hex1efea328c8

133121124552 has 128 divisors (see below), whose sum is σ = 364917974400. Its totient is φ = 40219711488.

The previous prime is 133121124541. The next prime is 133121124569. The reversal of 133121124552 is 255421121331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6616524 + ... + 6636612.

It is an arithmetic number, because the mean of its divisors is an integer number (2850921675).

Almost surely, 2133121124552 is an apocalyptic number.

133121124552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133121124552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182458987200).

133121124552 is an abundant number, since it is smaller than the sum of its proper divisors (231796849848).

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

133121124552 is a wasteful number, since it uses less digits than its factorization.

133121124552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20495 (or 20491 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 133121124552 its reverse (255421121331), we get a palindrome (388542245883).

The spelling of 133121124552 in words is "one hundred thirty-three billion, one hundred twenty-one million, one hundred twenty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 201 268 312 317 402 536 634 804 871 951 1268 1608 1742 1902 2536 2613 3484 3804 4121 5226 6968 7608 8242 10452 12363 16484 20089 20904 21239 24726 32968 40178 42478 49452 60267 63717 80356 84956 98904 120534 127434 160712 169912 241068 254868 261157 276107 482136 509736 522314 552214 783471 828321 1044628 1104428 1345963 1566942 1656642 2089256 2208856 2691926 3133884 3313284 4037889 5383852 6267768 6368213 6626568 8075778 10767704 12736426 16151556 17497519 19104639 25472852 32303112 34995038 38209278 50945704 52492557 69990076 76418556 82786769 104985114 139980152 152837112 165573538 209970228 248360307 331147076 419940456 426670271 496720614 662294152 853340542 993441228 1280010813 1706681084 1986882456 2560021626 3413362168 5120043252 5546713523 10240086504 11093427046 16640140569 22186854092 33280281138 44373708184 66560562276 133121124552