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31132231002 = 23217521195277
BaseRepresentation
bin11100111111101000…
…000010010101011010
32222100122210012022200
4130333220002111122
51002224322343002
622145115431030
72151325411605
oct347750022532
988318705280
1031132231002
1112226372a34
12604a155476
132c21b1c382
14171497733c
15c23229b1c
hex73fa0255a

31132231002 has 48 divisors (see below), whose sum is σ = 71558451432. Its totient is φ = 9748177920.

The previous prime is 31132230973. The next prime is 31132231021. The reversal of 31132231002 is 20013223113.

31132231002 is a `hidden beast` number, since 31 + 1 + 322 + 310 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29846363121 + 1285867881 = 172761^2 + 35859^2 .

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 23 ways as a sum of consecutive naturals, for example, 61788 + ... + 257064.

Almost surely, 231132231002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31132231002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35779225716).

31132231002 is an abundant number, since it is smaller than the sum of its proper divisors (40426220430).

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

31132231002 is a wasteful number, since it uses less digits than its factorization.

31132231002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195823 (or 195820 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31132231002 its reverse (20013223113), we get a palindrome (51145454115).

The spelling of 31132231002 in words is "thirty-one billion, one hundred thirty-two million, two hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 521 1042 1563 3126 4689 8857 9378 17714 26571 53142 79713 159426 195277 390554 585831 1171662 1757493 3319709 3514986 6639418 9959127 19918254 29877381 59754762 101739317 203478634 305217951 610435902 915653853 1729568389 1831307706 3459136778 5188705167 10377410334 15566115501 31132231002