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20113212320 = 2551812512767
BaseRepresentation
bin10010101110110101…
…110100001110100000
31220220201120001100122
4102232311310032200
5312142440243240
613123451535412
71311265324655
oct225665641640
956821501318
1020113212320
118591425123
123a93a5a568
131b86c96186
14d8b355c2c
157cab804b5
hex4aed743a0

20113212320 has 96 divisors (see below), whose sum is σ = 47987686656. Its totient is φ = 7966080000.

The previous prime is 20113212307. The next prime is 20113212323. The reversal of 20113212320 is 2321231102.

It is not an unprimeable number, because it can be changed into a prime (20113212323) 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 15 ways as a sum of consecutive naturals, for example, 7267577 + ... + 7270343.

It is an arithmetic number, because the mean of its divisors is an integer number (499871736).

Almost surely, 220113212320 is an apocalyptic number.

20113212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20113212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23993843328).

20113212320 is an abundant number, since it is smaller than the sum of its proper divisors (27874474336).

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

20113212320 is a wasteful number, since it uses less digits than its factorization.

20113212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20113212320 its reverse (2321231102), we get a palindrome (22434443422).

The spelling of 20113212320 in words is "twenty billion, one hundred thirteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 251 362 502 724 905 1004 1255 1448 1810 2008 2510 2767 2896 3620 4016 5020 5534 5792 7240 8032 10040 11068 13835 14480 20080 22136 27670 28960 40160 44272 45431 55340 88544 90862 110680 181724 221360 227155 363448 442720 454310 500827 694517 726896 908620 1001654 1389034 1453792 1817240 2003308 2504135 2778068 3472585 3634480 4006616 5008270 5556136 6945170 7268960 8013232 10016540 11112272 13890340 16026464 20033080 22224544 27780680 40066160 55561360 80132320 111122720 125707577 251415154 502830308 628537885 1005660616 1257075770 2011321232 2514151540 4022642464 5028303080 10056606160 20113212320