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20311003332 = 22323779251769
BaseRepresentation
bin10010111010101000…
…010101000011000100
31221102111201212121200
4102322220111003010
5313044104101312
613155235142500
71316216452104
oct227250250304
957374655550
1020311003332
118683039474
123b2a144a30
131bb8c58b89
14da9721204
157dd2000dc
hex4baa150c4

20311003332 has 144 divisors (see below), whose sum is σ = 53679225600. Its totient is φ = 6469632000.

The previous prime is 20311003261. The next prime is 20311003333. The reversal of 20311003332 is 23330011302.

20311003332 is a `hidden beast` number, since 20 + 311 + 0 + 0 + 3 + 332 = 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 (20311003333) 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, 26411844 + ... + 26412612.

It is an arithmetic number, because the mean of its divisors is an integer number (372772400).

Almost surely, 220311003332 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 20311003332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26839612800).

20311003332 is an abundant number, since it is smaller than the sum of its proper divisors (33368222268).

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

20311003332 is a wasteful number, since it uses less digits than its factorization.

20311003332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20311003332 its reverse (23330011302), we get a palindrome (43641014634).

The spelling of 20311003332 in words is "twenty billion, three hundred eleven million, three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 251 316 333 444 474 502 666 711 753 769 948 1004 1332 1422 1506 1538 2259 2307 2844 2923 3012 3076 4518 4614 5846 6921 8769 9036 9228 9287 11692 13842 17538 18574 19829 26307 27684 27861 28453 35076 37148 39658 52614 55722 56906 59487 60751 79316 83583 85359 105228 111444 113812 118974 121502 167166 170718 178461 182253 193019 237948 243004 256077 334332 341436 356922 364506 386038 512154 546759 579057 713844 729012 733673 772076 1024308 1093518 1158114 1467346 1737171 2187036 2201019 2247787 2316228 2934692 3474342 4402038 4495574 6603057 6743361 6948684 7141703 8804076 8991148 13206114 13486722 14283406 15248501 20230083 21425109 26412228 26973444 28566812 30497002 40460166 42850218 45745503 60994004 64275327 80920332 85700436 91491006 128550654 137236509 182982012 257101308 274473018 548946036 564194537 1128389074 1692583611 2256778148 3385167222 5077750833 6770334444 10155501666 20311003332