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311690000700 = 22365213328891
BaseRepresentation
bin1001000100100100010…
…10111111100100111100
31002210112012201121000000
410202102022333210330
520101320120010300
6355104410234300
731342653202131
oct4422212774474
91083465647000
10311690000700
11110206974901
12504a8425990
13235139a41a0
141112b906588
158193ae7c00
hex48922bf93c

311690000700 has 252 divisors, whose sum is σ = 1092097068328. Its totient is φ = 76723459200.

The previous prime is 311690000689. The next prime is 311690000707. The reversal of 311690000700 is 7000096113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311690000707) 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 83 ways as a sum of consecutive naturals, for example, 783255 + ... + 1112145.

Almost surely, 2311690000700 is an apocalyptic number.

311690000700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311690000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546048534164).

311690000700 is an abundant number, since it is smaller than the sum of its proper divisors (780407067628).

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

311690000700 is a wasteful number, since it uses less digits than its factorization.

311690000700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328936 (or 328914 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

Adding to 311690000700 its reverse (7000096113), we get a palindrome (318690096813).

The spelling of 311690000700 in words is "three hundred eleven billion, six hundred ninety million, seven hundred", and thus it is an aban number.