Search a number
-
+
31002010314 = 23111571298999
BaseRepresentation
bin11100110111110111…
…010010001011001010
32222000120202022010020
4130313313102023022
51001443003312224
622124144401310
72145154511502
oct346767221312
988016668106
1031002010314
1112169910230
126012616236
132c00b57302
14170155aa02
15c16aa5c79
hex737dd22ca

31002010314 has 32 divisors (see below), whose sum is σ = 67684032000. Its totient is φ = 9388537200.

The previous prime is 31002010309. The next prime is 31002010357. The reversal of 31002010314 is 41301020013.

It is a super-3 number, since 3×310020103143 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31002010293 and 31002010302.

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, 45814 + ... + 253185.

It is an arithmetic number, because the mean of its divisors is an integer number (2115126000).

Almost surely, 231002010314 is an apocalyptic number.

31002010314 is an abundant number, since it is smaller than the sum of its proper divisors (36682021686).

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

31002010314 is a wasteful number, since it uses less digits than its factorization.

31002010314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300586.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31002010314 its reverse (41301020013), we get a palindrome (72303030327).

The spelling of 31002010314 in words is "thirty-one billion, two million, ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 1571 3142 4713 9426 17281 34562 51843 103686 298999 597998 896997 1793994 3288989 6577978 9866967 19733934 469727429 939454858 1409182287 2818364574 5167001719 10334003438 15501005157 31002010314