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20121031312 = 2419831137057
BaseRepresentation
bin10010101111010011…
…101001001010010000
31220221021021021222221
4102233103221022100
5312201441000222
613124331310424
71311421641604
oct225723511220
956837237887
1020121031312
1185958856a8
123a965ab414
131b887a30b5
14d8c3cd504
157cb6c70c7
hex4af4e9290

20121031312 has 80 divisors (see below), whose sum is σ = 41904192960. Its totient is φ = 9331531776.

The previous prime is 20121031291. The next prime is 20121031379. The reversal of 20121031312 is 21313012102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2847688 + ... + 2854744.

It is an arithmetic number, because the mean of its divisors is an integer number (523802412).

Almost surely, 220121031312 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 20121031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20952096480).

20121031312 is an abundant number, since it is smaller than the sum of its proper divisors (21783161648).

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

20121031312 is a wasteful number, since it uses less digits than its factorization.

20121031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20121031312 its reverse (21313012102), we get a palindrome (41434043414).

The spelling of 20121031312 in words is "twenty billion, one hundred twenty-one million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 83 113 152 166 226 304 332 452 664 904 1328 1577 1808 2147 3154 4294 6308 7057 8588 9379 12616 14114 17176 18758 25232 28228 34352 37516 56456 75032 112912 134083 150064 178201 268166 356402 536332 585731 712804 797441 1072664 1171462 1425608 1594882 2145328 2342924 2851216 3189764 4685848 6379528 9371696 11128889 12759056 15151379 22257778 30302758 44515556 60605516 66187603 89031112 121211032 132375206 178062224 242422064 264750412 529500824 1059001648 1257564457 2515128914 5030257828 10060515656 20121031312