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20313112032 = 25322315312003
BaseRepresentation
bin10010111010110000…
…010111110111100000
31221102122201000012200
4102322300113313200
5313100124041112
613155352253200
71316243413653
oct227260276740
957378630180
1020313112032
1186842497a4
123b2a9a1200
131bb9516925
14da9b0d89a
157dd4b9cdc
hex4bac17de0

20313112032 has 144 divisors (see below), whose sum is σ = 60346435968. Its totient is φ = 6469182720.

The previous prime is 20313112019. The next prime is 20313112051. The reversal of 20313112032 is 23021131302.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 20313111996 and 20313112014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10140343 + ... + 10142345.

It is an arithmetic number, because the mean of its divisors is an integer number (419072472).

Almost surely, 220313112032 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 20313112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30173217984).

20313112032 is an abundant number, since it is smaller than the sum of its proper divisors (40033323936).

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

20313112032 is a wasteful number, since it uses less digits than its factorization.

20313112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3562 counting only the distinct ones).

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

Adding to 20313112032 its reverse (23021131302), we get a palindrome (43334243334).

The spelling of 20313112032 in words is "twenty billion, three hundred thirteen million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1531 1656 2003 2208 3062 3312 4006 4593 6009 6124 6624 8012 9186 12018 12248 13779 16024 18027 18372 24036 24496 27558 32048 35213 36054 36744 46069 48072 48992 55116 64096 70426 72108 73488 92138 96144 105639 110232 138207 140852 144216 146976 184276 192288 211278 220464 276414 281704 288432 316917 368552 414621 422556 440928 552828 563408 576864 633834 737104 829242 845112 1105656 1126816 1267668 1474208 1658484 1690224 2211312 2535336 3066593 3316968 3380448 4422624 5070672 6133186 6633936 9199779 10141344 12266372 13267872 18399558 24532744 27599337 36799116 49065488 55198674 70531639 73598232 98130976 110397348 141063278 147196464 211594917 220794696 282126556 294392928 423189834 441589392 564253112 634784751 846379668 883178784 1128506224 1269569502 1692759336 2257012448 2539139004 3385518672 5078278008 6771037344 10156556016 20313112032