Search a number
-
+
2134116525 = 3522329371153
BaseRepresentation
bin111111100110100…
…0000100010101101
312111201201100111210
41333031000202231
513332313212100
6551433305033
7103612456032
oct17715004255
95451640453
102134116525
119a5720372
124b6865179
132801a4758
1416360b389
15c7555c50
hex7f3408ad

2134116525 has 96 divisors (see below), whose sum is σ = 3915106560. Its totient is φ = 1021870080.

The previous prime is 2134116511. The next prime is 2134116527. The reversal of 2134116525 is 5256114312.

It is not a de Polignac number, because 2134116525 - 28 = 2134116269 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2134116492 and 2134116501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134116527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1850349 + ... + 1851501.

It is an arithmetic number, because the mean of its divisors is an integer number (40782360).

Almost surely, 22134116525 is an apocalyptic number.

2134116525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2134116525 is a deficient number, since it is larger than the sum of its proper divisors (1780990035).

2134116525 is a wasteful number, since it uses less digits than its factorization.

2134116525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1250 counting only the distinct ones).

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

The square root of 2134116525 is about 46196.4990556644. The cubic root of 2134116525 is about 1287.4766942085.

The spelling of 2134116525 in words is "two billion, one hundred thirty-four million, one hundred sixteen thousand, five hundred twenty-five".

Divisors: 1 3 5 15 23 25 29 37 69 75 87 111 115 145 185 345 435 555 575 667 725 851 925 1073 1153 1725 2001 2175 2553 2775 3219 3335 3459 4255 5365 5765 10005 12765 16095 16675 17295 21275 24679 26519 26825 28825 33437 42661 50025 63825 74037 79557 80475 86475 100311 123395 127983 132595 167185 213305 370185 397785 501555 616975 639915 662975 769051 835925 981203 1066525 1237169 1850925 1988925 2307153 2507775 2943609 3199575 3711507 3845255 4906015 6185845 11535765 14718045 18557535 19226275 24530075 28454887 30929225 57678825 73590225 85364661 92787675 142274435 426823305 711372175 2134116525