Search a number
-
+
31505151145 = 5131728511449
BaseRepresentation
bin11101010101110110…
…100111010010101001
310000022122111111120211
4131111312213102221
51004010304314040
622250120421121
72163504236416
oct352566472251
9100278444524
1031505151145
11123a79223a6
1261330177a1
132c8116bb90
14174c2cd10d
15c45d3e8ea
hex755da74a9

31505151145 has 16 divisors (see below), whose sum is σ = 43109312400. Its totient is φ = 21896792064.

The previous prime is 31505151103. The next prime is 31505151187. The reversal of 31505151145 is 54115150513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31505151103) and next prime (31505151187).

It can be written as a sum of positive squares in 8 ways, for example, as 1510721424 + 29994429721 = 38868^2 + 173189^2 .

It is not a de Polignac number, because 31505151145 - 211 = 31505149097 is a prime.

It is a super-2 number, since 2×315051511452 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14254620 + ... + 14256829.

It is an arithmetic number, because the mean of its divisors is an integer number (2694332025).

Almost surely, 231505151145 is an apocalyptic number.

It is an amenable number.

31505151145 is a deficient number, since it is larger than the sum of its proper divisors (11604161255).

31505151145 is a wasteful number, since it uses less digits than its factorization.

31505151145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28511484.

The product of its (nonzero) digits is 7500, while the sum is 31.

The spelling of 31505151145 in words is "thirty-one billion, five hundred five million, one hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 5 13 17 65 85 221 1105 28511449 142557245 370648837 484694633 1853244185 2423473165 6301030229 31505151145