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20311130502 = 232131012114073
BaseRepresentation
bin10010111010101000…
…110100000110000110
31221102111222100001200
4102322220310012012
5313044122134002
613155242003330
71316220521625
oct227250640606
957374870050
1020311130502
118683115a73
123b2a1a6546
131bb8ca1a20
14da97556bc
157dd227b1c
hex4baa34186

20311130502 has 96 divisors (see below), whose sum is σ = 48100512096. Its totient is φ = 6156864000.

The previous prime is 20311130431. The next prime is 20311130503. The reversal of 20311130502 is 20503111302.

20311130502 is a `hidden beast` number, since 2 + 0 + 31 + 1 + 130 + 502 = 666.

20311130502 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311130503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4984738 + ... + 4988810.

It is an arithmetic number, because the mean of its divisors is an integer number (501047001).

Almost surely, 220311130502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311130502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24050256048).

20311130502 is an abundant number, since it is smaller than the sum of its proper divisors (27789381594).

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

20311130502 is a wasteful number, since it uses less digits than its factorization.

20311130502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 20311130502 its reverse (20503111302), we get a palindrome (40814241804).

The spelling of 20311130502 in words is "twenty billion, three hundred eleven million, one hundred thirty thousand, five hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 211 234 303 422 606 633 909 1266 1313 1818 1899 2626 2743 3798 3939 4073 5486 7878 8146 8229 11817 12219 16458 21311 23634 24438 24687 36657 42622 49374 52949 63933 73314 105898 127866 158847 191799 277043 317694 383598 411373 476541 554086 822746 831129 859403 953082 1234119 1662258 1718806 2468238 2493387 2578209 3702357 4986774 5156418 5347849 7404714 7734627 10695698 11172239 15469254 16043547 22344478 32087094 33516717 48130641 67033434 86799703 96261282 100550151 173599406 201100302 260399109 520798218 781197327 1128396139 1562394654 2256792278 3385188417 6770376834 10155565251 20311130502