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31402012000 = 2553291671621
BaseRepresentation
bin11101001111101101…
…001010110101100000
310000001110102111021111
4131033231022311200
51003302403341000
622231554033104
72161112461252
oct351755126540
9100043374244
1031402012000
1112354687437
126104578794
132c659995b8
14173c721cd2
15c3bc69cba
hex74fb4ad60

31402012000 has 192 divisors, whose sum is σ = 80342720640. Its totient is φ = 12047616000.

The previous prime is 31402011983. The next prime is 31402012001. The reversal of 31402012000 is 21020413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31402012001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19371190 + ... + 19372810.

It is an arithmetic number, because the mean of its divisors is an integer number (418451670).

Almost surely, 231402012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31402012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40171360320).

31402012000 is an abundant number, since it is smaller than the sum of its proper divisors (48940708640).

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

31402012000 is a wasteful number, since it uses less digits than its factorization.

31402012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 31402012000 its reverse (21020413), we get a palindrome (31423032413).

The spelling of 31402012000 in words is "thirty-one billion, four hundred two million, twelve thousand".