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23002221321140 = 225172310312853017
BaseRepresentation
bin1010011101011100111110…
…01110110001101110110100
310000102222202100112120212012
411032232133032301232310
511003332022124234030
6120531024040143352
74562566326135635
oct516563716615664
9100388670476765
1023002221321140
1173692072a6206
1226b5b99467b58
13cab13c09bb39
1459745618188c
1529d519609095
hex14eb9f3b1bb4

23002221321140 has 96 divisors (see below), whose sum is σ = 53421643666944. Its totient is φ = 8275115847680.

The previous prime is 23002221321139. The next prime is 23002221321187. The reversal of 23002221321140 is 4112312220032.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6635912 + ... + 9488928.

It is an arithmetic number, because the mean of its divisors is an integer number (556475454864).

Almost surely, 223002221321140 is an apocalyptic number.

23002221321140 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 23002221321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26710821833472).

23002221321140 is an abundant number, since it is smaller than the sum of its proper divisors (30419422345804).

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

23002221321140 is a wasteful number, since it uses less digits than its factorization.

23002221321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854097 (or 2854095 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 23002221321140 its reverse (4112312220032), we get a palindrome (27114533541172).

The spelling of 23002221321140 in words is "twenty-three trillion, two billion, two hundred twenty-one million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1031 1564 1955 2062 3910 4124 5155 7820 10310 17527 20620 23713 35054 47426 70108 87635 94852 118565 175270 237130 350540 403121 474260 806242 1612484 2015605 2853017 4031210 5706034 8062420 11412068 14265085 28530170 48501289 57060340 65619391 97002578 131238782 194005156 242506445 262477564 328096955 485012890 656193910 970025780 1115529647 1312387820 2231059294 2941460527 4462118588 5577648235 5882921054 11155296470 11765842108 14707302635 22310592940 29414605270 50004828959 58829210540 67653592121 100009657918 135307184242 200019315836 250024144795 270614368484 338267960605 500048289590 676535921210 1000096579180 1150111066057 1353071842420 2300222132114 4600444264228 5750555330285 11501110660570 23002221321140