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120013105407 = 31331798315139
BaseRepresentation
bin110111111000101010…
…1101010100011111111
3102110202220211102201220
41233301111222203333
53431241323333112
6131044441204423
711446015364406
oct1576125524377
9373686742656
10120013105407
11469962a6438
121b314190713
13b417b25550
145b46d9863d
1531c61e398c
hex1bf156a8ff

120013105407 has 64 divisors (see below), whose sum is σ = 182319513600. Its totient is φ = 69712306560.

The previous prime is 120013105397. The next prime is 120013105409. The reversal of 120013105407 is 704501310021.

It is not a de Polignac number, because 120013105407 - 211 = 120013103359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013105409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7919844 + ... + 7934982.

It is an arithmetic number, because the mean of its divisors is an integer number (2848742400).

Almost surely, 2120013105407 is an apocalyptic number.

120013105407 is a deficient number, since it is larger than the sum of its proper divisors (62306408193).

120013105407 is a wasteful number, since it uses less digits than its factorization.

120013105407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15348.

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 120013105407 its reverse (704501310021), we get a palindrome (824514415428).

The spelling of 120013105407 in words is "one hundred twenty billion, thirteen million, one hundred five thousand, four hundred seven".

Divisors: 1 3 13 31 39 79 83 93 237 249 403 1027 1079 1209 2449 2573 3081 3237 6557 7347 7719 15139 19671 31837 33449 45417 85241 95511 100347 196807 203267 255723 469309 590421 609801 1195981 1256537 1407927 2642471 3587943 3769611 6101017 7927413 15547753 16334981 18303051 37075411 38952647 46643259 49004943 99266423 111226233 116857941 297799269 481980343 506384411 1290463499 1445941029 1519153233 3077259113 3871390497 9231777339 40004368469 120013105407