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23020132100 = 225271910117137
BaseRepresentation
bin10101011100000110…
…110101011100000100
32012102022102212122012
4111130012311130010
5334121123211400
614324133153352
71443313615520
oct253406653404
965368385565
1023020132100
11984329aa69
12456548b858
13222b2ba754
14118544cd80
158eae89d35
hex55c1b5704

23020132100 has 144 divisors (see below), whose sum is σ = 60693198720. Its totient is φ = 7402752000.

The previous prime is 23020132073. The next prime is 23020132133. The reversal of 23020132100 is 123102032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334732 + ... + 1351868.

Almost surely, 223020132100 is an apocalyptic number.

23020132100 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 23020132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30346599360).

23020132100 is an abundant number, since it is smaller than the sum of its proper divisors (37673066620).

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

23020132100 is a wasteful number, since it uses less digits than its factorization.

23020132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17278 (or 17271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23020132100 its reverse (123102032), we get a palindrome (23143234132).

The spelling of 23020132100 in words is "twenty-three billion, twenty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 101 133 140 175 190 202 266 350 380 404 475 505 532 665 700 707 950 1010 1330 1414 1900 1919 2020 2525 2660 2828 3325 3535 3838 5050 6650 7070 7676 9595 10100 13300 13433 14140 17137 17675 19190 26866 34274 35350 38380 47975 53732 67165 68548 70700 85685 95950 119959 134330 171370 191900 239918 268660 325603 335825 342740 428425 479836 599795 651206 671650 856850 1199590 1302412 1343300 1628015 1713700 1730837 2279221 2399180 2998975 3256030 3461674 4558442 5997950 6512060 6923348 8140075 8654185 9116884 11396105 11995900 12115859 16280150 17308370 22792210 24231718 32560300 32885903 34616740 43270925 45584420 48463436 56980525 60579295 65771806 86541850 113961050 121158590 131543612 164429515 173083700 227922100 230201321 242317180 302896475 328859030 460402642 605792950 657718060 822147575 920805284 1151006605 1211585900 1644295150 2302013210 3288590300 4604026420 5755033025 11510066050 23020132100