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31002411414 = 23131042738119
BaseRepresentation
bin11100110111111000…
…110100000110010110
32222000121111200022210
4130313320310012112
51001443104131124
622124201134250
72145161102052
oct346770640626
988017450283
1031002411414
111216a064617
12601278a386
132c00c67a50
141701622c62
15c16b34a29
hex737e34196

31002411414 has 32 divisors (see below), whose sum is σ = 66782580480. Its totient is φ = 9538038432.

The previous prime is 31002411379. The next prime is 31002411449. The reversal of 31002411414 is 41411420013.

It is an interprime number because it is at equal distance from previous prime (31002411379) and next prime (31002411449).

It is a super-2 number, since 2×310024114142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794247 + ... + 832365.

It is an arithmetic number, because the mean of its divisors is an integer number (2086955640).

Almost surely, 231002411414 is an apocalyptic number.

31002411414 is an abundant number, since it is smaller than the sum of its proper divisors (35780169066).

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

31002411414 is a wasteful number, since it uses less digits than its factorization.

31002411414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48564.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 31002411414 its reverse (41411420013), we get a palindrome (72413831427).

The spelling of 31002411414 in words is "thirty-one billion, two million, four hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 10427 20854 31281 38119 62562 76238 114357 135551 228714 271102 406653 495547 813306 991094 1486641 2973282 397466813 794933626 1192400439 2384800878 5167068569 10334137138 15501205707 31002411414