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120133401453 = 3413829313757
BaseRepresentation
bin110111111100010000…
…0100011101101101101
3102111002022012002220000
41233320200203231231
53432013122321303
6131104415414513
711452006030632
oct1577040435555
9374068162800
10120133401453
1146a4819a65a
121b348524439
13b436a24140
145b58d50189
1531d1a56da3
hex1bf8823b6d

120133401453 has 40 divisors (see below), whose sum is σ = 193300395288. Its totient is φ = 73913959296.

The previous prime is 120133401431. The next prime is 120133401461. The reversal of 120133401453 is 354104331021.

It is a happy number.

120133401453 is a `hidden beast` number, since 1 + 201 + 3 + 3 + 4 + 0 + 1 + 453 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6912592164 + 113220809289 = 83142^2 + 336483^2 .

It is not a de Polignac number, because 120133401453 - 218 = 120133139309 is a prime.

It is a super-2 number, since 2×1201334014532 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133401653) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8725651 + ... + 8739407.

Almost surely, 2120133401453 is an apocalyptic number.

120133401453 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120133401453 is a deficient number, since it is larger than the sum of its proper divisors (73166993835).

120133401453 is a wasteful number, since it uses less digits than its factorization.

120133401453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22075 (or 22066 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 120133401453 its reverse (354104331021), we get a palindrome (474237732474).

The spelling of 120133401453 in words is "one hundred twenty billion, one hundred thirty-three million, four hundred one thousand, four hundred fifty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 8293 13757 24879 41271 74637 107809 123813 178841 223911 323427 371439 536523 671733 970281 1114317 1609569 2910843 4828707 8732529 14486121 114086801 342260403 1026781209 1483128413 3080343627 4449385239 9241030881 13348155717 40044467151 120133401453