Search a number
-
+
315414132100 = 22523797830693
BaseRepresentation
bin1001001011100000010…
…01011011010110000100
31010011010202100001212121
410211300021123112010
520131432004211400
6400522123255324
731534153613104
oct4456011332604
91104122301777
10315414132100
11111848066951
125116767a544
13239883c6832
14113a2369204
158310a2921a
hex497025b584

315414132100 has 36 divisors (see below), whose sum is σ = 684629751204. Its totient is φ = 126132273280.

The previous prime is 315414132053. The next prime is 315414132167. The reversal of 315414132100 is 1231414513.

It can be written as a sum of positive squares in 6 ways, for example, as 94596844356 + 220817287744 = 307566^2 + 469912^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 35647 + ... + 795046.

It is an arithmetic number, because the mean of its divisors is an integer number (19017493089).

Almost surely, 2315414132100 is an apocalyptic number.

It is an amenable number.

315414132100 is an abundant number, since it is smaller than the sum of its proper divisors (369215619104).

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

315414132100 is a wasteful number, since it uses less digits than its factorization.

315414132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834504 (or 834497 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 315414132100 its reverse (1231414513), we get a palindrome (316645546613).

The spelling of 315414132100 in words is "three hundred fifteen billion, four hundred fourteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3797 7594 15188 18985 37970 75940 94925 189850 379700 830693 1661386 3322772 4153465 8306930 16613860 20767325 41534650 83069300 3154141321 6308282642 12616565284 15770706605 31541413210 63082826420 78853533025 157707066050 315414132100