Search a number
-
+
2101132131 = 37594014229
BaseRepresentation
bin111110100111100…
…1011101101100011
312102102122120102120
41331033023231203
513300342212011
6544254315323
7103032220440
oct17517135543
95372576376
102101132131
1198904173a
124a77b8b43
132763c6267
1415d0a29c7
15c46dca06
hex7d3cbb63

2101132131 has 32 divisors (see below), whose sum is σ = 3264883200. Its totient is φ = 1177075200.

The previous prime is 2101132097. The next prime is 2101132139. The reversal of 2101132131 is 1312311012.

It is a happy number.

It is not a de Polignac number, because 2101132131 - 27 = 2101132003 is a prime.

It is a super-2 number, since 2×21011321312 = 8829512463841202322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101132131.

It is not an unprimeable number, because it can be changed into a prime (2101132139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494725 + ... + 498953.

It is an arithmetic number, because the mean of its divisors is an integer number (102027600).

Almost surely, 22101132131 is an apocalyptic number.

2101132131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2101132131 is a deficient number, since it is larger than the sum of its proper divisors (1163751069).

2101132131 is a wasteful number, since it uses less digits than its factorization.

2101132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2101132131 is about 45838.1078470741. The cubic root of 2101132131 is about 1280.8092479903.

Adding to 2101132131 its reverse (1312311012), we get a palindrome (3413443143).

The spelling of 2101132131 in words is "two billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 59 177 401 413 1203 1239 2807 4229 8421 12687 23659 29603 70977 88809 165613 249511 496839 748533 1695829 1746577 5087487 5239731 11870803 35612409 100053911 300161733 700377377 2101132131