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31006411002 = 2327235154661
BaseRepresentation
bin11100111000001000…
…000100100011111010
32222000220000212201200
4130320020010203322
51002000120123002
622124422555030
72145240100500
oct347010044372
988026025650
1031006411002
1112171346566
126013b98a76
132c01a38378
141701d84670
15c17174b1c
hex7382048fa

31006411002 has 36 divisors (see below), whose sum is σ = 78148813626. Its totient is φ = 8858974320.

The previous prime is 31006410991. The next prime is 31006411057. The reversal of 31006411002 is 20011460013.

It is a happy number.

31006411002 is a `hidden beast` number, since 3 + 10 + 0 + 641 + 10 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24998455881 + 6007955121 = 158109^2 + 77511^2 .

It is a super-2 number, since 2×310064110022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17576449 + ... + 17578212.

Almost surely, 231006411002 is an apocalyptic number.

31006411002 is an abundant number, since it is smaller than the sum of its proper divisors (47142402624).

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

31006411002 is a wasteful number, since it uses less digits than its factorization.

31006411002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35154683 (or 35154673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31006411002 its reverse (20011460013), we get a palindrome (51017871015).

The spelling of 31006411002 in words is "thirty-one billion, six million, four hundred eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 35154661 70309322 105463983 210927966 246082627 316391949 492165254 632783898 738247881 1476495762 1722578389 2214743643 3445156778 4429487286 5167735167 10335470334 15503205501 31006411002