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20113022120 = 2355967131971
BaseRepresentation
bin10010101110110101…
…000101110010101000
31220220201012101110012
4102232311011302220
5312142413201440
613123443511052
71311263603312
oct225665056250
956821171405
1020113022120
118591305234
123a93988488
131b86c2a729
14d8b3067b2
157cab43e65
hex4aed45ca8

20113022120 has 128 divisors (see below), whose sum is σ = 47113228800. Its totient is φ = 7723372800.

The previous prime is 20113022117. The next prime is 20113022159. The reversal of 20113022120 is 2122031102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20113022095 and 20113022104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20713235 + ... + 20714205.

It is an arithmetic number, because the mean of its divisors is an integer number (368072100).

Almost surely, 220113022120 is an apocalyptic number.

20113022120 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 20113022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23556614400).

20113022120 is an abundant number, since it is smaller than the sum of its proper divisors (27000206680).

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

20113022120 is a wasteful number, since it uses less digits than its factorization.

20113022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20113022120 its reverse (2122031102), we get a palindrome (22235053222).

The spelling of 20113022120 in words is "twenty billion, one hundred thirteen million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 67 118 131 134 236 262 268 295 335 472 524 536 590 655 670 971 1048 1180 1310 1340 1942 2360 2620 2680 3884 3953 4855 5240 7729 7768 7906 8777 9710 15458 15812 17554 19420 19765 30916 31624 35108 38645 38840 39530 43885 57289 61832 65057 70216 77290 79060 87770 114578 127201 130114 154580 158120 175540 229156 254402 260228 286445 309160 325285 351080 458312 508804 517843 520456 572890 636005 650570 1017608 1035686 1145780 1272010 1301140 2071372 2291560 2544020 2589215 2602280 3838363 4142744 5088040 5178430 7504859 7676726 8522467 10356860 15009718 15353452 17044934 19191815 20713720 30019436 30706904 34089868 37524295 38383630 42612335 60038872 68179736 75048590 76767260 85224670 150097180 153534520 170449340 300194360 340898680 502825553 1005651106 2011302212 2514127765 4022604424 5028255530 10056511060 20113022120