Search a number
-
+
312010142100100 = 225227971115517133
BaseRepresentation
bin100011011110001011000010…
…1101011111010101010000100
31111220201212201021011202110121
41012330112011223322222010
5311343433232334200400
63023331251442431324
7122501663120102413
oct10674260553725204
91456655637152417
10312010142100100
1190463838145234
122abb17a5362544
1310513579076062
14570952b3a747a
152611176d5b21a
hex11bc585afaa84

312010142100100 has 36 divisors (see below), whose sum is σ = 677304076182244. Its totient is φ = 124759436042880.

The previous prime is 312010142100091. The next prime is 312010142100127. The reversal of 312010142100100 is 1001241010213.

It can be written as a sum of positive squares in 6 ways, for example, as 32557135044996 + 279453007055104 = 5705886^2 + 16716848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557478867 + ... + 558038266.

Almost surely, 2312010142100100 is an apocalyptic number.

It is an amenable number.

312010142100100 is an abundant number, since it is smaller than the sum of its proper divisors (365293934082144).

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

312010142100100 is a wasteful number, since it uses less digits than its factorization.

312010142100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115519944 (or 1115519937 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 312010142100100 its reverse (1001241010213), we get a palindrome (313011383110313).

The spelling of 312010142100100 in words is "three hundred twelve trillion, ten billion, one hundred forty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2797 5594 11188 13985 27970 55940 69925 139850 279700 1115517133 2231034266 4462068532 5577585665 11155171330 22310342660 27887928325 55775856650 111551713300 3120101421001 6240202842002 12480405684004 15600507105005 31201014210010 62402028420020 78002535525025 156005071050050 312010142100100