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2131134525 = 32521319311237
BaseRepresentation
bin111111100000110…
…1000100000111101
312111112002211222100
41333001220200331
513331032301100
6551245335313
7103545226122
oct17701504075
95445084870
102131134525
119a3a73a03
124b5867539
1327c69c360
14163072749
15c7167400
hex7f06883d

2131134525 has 144 divisors (see below), whose sum is σ = 4470269440. Its totient is φ = 961113600.

The previous prime is 2131134503. The next prime is 2131134527. The reversal of 2131134525 is 5254311312.

2131134525 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 134 + 525 = 666.

It is not a de Polignac number, because 2131134525 - 25 = 2131134493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131134527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1722207 + ... + 1723443.

Almost surely, 22131134525 is an apocalyptic number.

2131134525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2131134525 is an abundant number, since it is smaller than the sum of its proper divisors (2339134915).

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

2131134525 is a wasteful number, since it uses less digits than its factorization.

2131134525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2131134525 is about 46164.2126002383. The cubic root of 2131134525 is about 1286.8767511652.

Adding to 2131134525 its reverse (5254311312), we get a palindrome (7385445837).

The spelling of 2131134525 in words is "two billion, one hundred thirty-one million, one hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 31 39 45 57 65 75 93 95 117 155 171 195 225 247 279 285 325 403 465 475 585 589 741 775 855 975 1209 1235 1237 1395 1425 1767 2015 2223 2325 2925 2945 3627 3705 3711 4275 5301 6045 6175 6185 6975 7657 8835 10075 11115 11133 14725 16081 18135 18525 18555 22971 23503 26505 30225 30925 38285 38347 44175 48243 55575 55665 68913 70509 80405 90675 92775 114855 115041 117515 132525 144729 191425 191735 211527 241215 278325 305539 344565 345123 352545 402025 498511 574275 575205 587575 723645 728593 916617 958675 1057635 1206075 1495533 1527695 1722825 1725615 1762725 2185779 2492555 2749851 2876025 3618225 3642965 4486599 4583085 5288175 6557337 7477665 7638475 8628075 9471709 10928895 12462775 13749255 18214825 22432995 22915425 28415127 32786685 37388325 47358545 54644475 68746275 85245381 112164975 142075635 163933425 236792725 426226905 710378175 2131134525