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23232032130100 = 2252171011148911777
BaseRepresentation
bin1010100100001001000010…
…00001011100010000110100
310001020221221021010021102011
411102010201001130100310
511021113200211130400
6121224352003254004
74615313261603263
oct522044101342064
9101227837107364
1023232032130100
117447716530402
12273263467a304
13cc6a04511931
145a46175005da
152a44b9c858ba
hex15212105c434

23232032130100 has 144 divisors (see below), whose sum is σ = 53916785198640. Its totient is φ = 8658092032000.

The previous prime is 23232032130091. The next prime is 23232032130127. The reversal of 23232032130100 is 103123023232.

It can be written as a sum of positive squares in 24 ways, for example, as 5930325671076 + 17301706459024 = 2435226^2 + 4159532^2 .

It is a congruent number.

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, 1972655412 + ... + 1972667188.

It is an arithmetic number, because the mean of its divisors is an integer number (374422119435).

Almost surely, 223232032130100 is an apocalyptic number.

23232032130100 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 23232032130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26958392599320).

23232032130100 is an abundant number, since it is smaller than the sum of its proper divisors (30684753068540).

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

23232032130100 is a wasteful number, since it uses less digits than its factorization.

23232032130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23398 (or 23391 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23232032130100 its reverse (103123023232), we get a palindrome (23335155153332).

The spelling of 23232032130100 in words is "twenty-three trillion, two hundred thirty-two billion, thirty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 170 202 340 404 425 505 850 1010 1700 1717 2020 2525 3434 5050 6868 8585 10100 11489 11777 17170 22978 23554 34340 42925 45956 47108 57445 58885 85850 114890 117770 171700 195313 200209 229780 235540 287225 294425 390626 400418 574450 588850 781252 800836 976565 1001045 1148900 1160389 1177700 1189477 1953130 2002090 2320778 2378954 3906260 4004180 4641556 4757908 4882825 5005225 5801945 5947385 9765650 10010450 11603890 11894770 19531300 19726613 20020900 20221109 23207780 23789540 29009725 29736925 39453226 40442218 58019450 59473850 78906452 80884436 98633065 101105545 116038900 118947700 135305953 197266130 202211090 270611906 394532260 404422180 493165325 505527725 541223812 676529765 986330650 1011055450 1353059530 1972661300 2022110900 2300201201 2706119060 3382648825 4600402402 6765297650 9200804804 11501006005 13530595300 13665901253 23002012010 27331802506 46004024020 54663605012 57505030025 68329506265 115010060050 136659012530 230020120100 232320321301 273318025060 341647531325 464640642602 683295062650 929281285204 1161601606505 1366590125300 2323203213010 4646406426020 5808008032525 11616016065050 23232032130100