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20331032120 = 23571492392039
BaseRepresentation
bin10010111011110100…
…101110111000111000
31221110220102102221122
4102323310232320320
5313114221011440
613201232324412
71316551631060
oct227364567070
957426372848
1020331032120
118693379393
123b349a3708
131bc014c429
14dac2563a0
157ded597b5
hex4bbd2ee38

20331032120 has 128 divisors (see below), whose sum is σ = 52876800000. Its totient is φ = 6891505152.

The previous prime is 20331032119. The next prime is 20331032129. The reversal of 20331032120 is 2123013302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331032129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9970061 + ... + 9972099.

It is an arithmetic number, because the mean of its divisors is an integer number (413100000).

Almost surely, 220331032120 is an apocalyptic number.

20331032120 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 20331032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400000).

20331032120 is an abundant number, since it is smaller than the sum of its proper divisors (32545767880).

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

20331032120 is a wasteful number, since it uses less digits than its factorization.

20331032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20331032120 its reverse (2123013302), we get a palindrome (22454045422).

The spelling of 20331032120 in words is "twenty billion, three hundred thirty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 239 280 298 478 596 745 956 1043 1192 1195 1490 1673 1912 2039 2086 2390 2980 3346 4078 4172 4780 5215 5960 6692 8156 8344 8365 9560 10195 10430 13384 14273 16312 16730 20390 20860 28546 33460 35611 40780 41720 57092 66920 71222 71365 81560 114184 142444 142730 178055 249277 284888 285460 303811 356110 487321 498554 570920 607622 712220 974642 997108 1215244 1246385 1424440 1519055 1949284 1994216 2126677 2430488 2436605 2492770 3038110 3411247 3898568 4253354 4873210 4985540 6076220 6822494 8506708 9746420 9971080 10633385 12152440 13644988 17013416 17056235 19492840 21266770 27289976 34112470 42533540 68224940 72610829 85067080 136449880 145221658 290443316 363054145 508275803 580886632 726108290 1016551606 1452216580 2033103212 2541379015 2904433160 4066206424 5082758030 10165516060 20331032120