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20311630002 = 23219479123989
BaseRepresentation
bin10010111010101010…
…101110000010110010
31221102112220201020200
4102322222232002302
5313044234130002
613155300420030
71316225002116
oct227252560262
957375821220
1020311630002
118683427284
123b2a3a7616
131bb91181a1
14da9845746
157dd2c5b1c
hex4baaae0b2

20311630002 has 48 divisors (see below), whose sum is σ = 46421856000. Its totient is φ = 6400756512.

The previous prime is 20311629991. The next prime is 20311630007. The reversal of 20311630002 is 20003611302.

20311630002 is a `hidden beast` number, since 2 + 0 + 31 + 1 + 630 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20311630007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101824 + ... + 225812.

It is an arithmetic number, because the mean of its divisors is an integer number (967122000).

Almost surely, 220311630002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311630002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23210928000).

20311630002 is an abundant number, since it is smaller than the sum of its proper divisors (26110225998).

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

20311630002 is a wasteful number, since it uses less digits than its factorization.

20311630002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124495 (or 124492 counting only the distinct ones).

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

The spelling of 20311630002 in words is "twenty billion, three hundred eleven million, six hundred thirty thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 479 958 1437 2874 4311 8622 9101 18202 27303 54606 81909 123989 163818 247978 371967 743934 1115901 2231802 2355791 4711582 7067373 14134746 21202119 42404238 59390731 118781462 178172193 356344386 534516579 1069033158 1128423889 2256847778 3385271667 6770543334 10155815001 20311630002