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23424096102 = 231117591073307
BaseRepresentation
bin10101110100001011…
…110101011101100110
32020110110120101001220
4111310023311131212
5340433032033402
614432203401210
71456320350241
oct256413653546
966413511056
1023424096102
119a30323110
124658823206
132293bb93c4
1411c2d66258
15921682dbc
hex5742f5766

23424096102 has 128 divisors (see below), whose sum is σ = 55561697280. Its totient is φ = 6504092160.

The previous prime is 23424096089. The next prime is 23424096139. The reversal of 23424096102 is 20169042432.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7081533 + ... + 7084839.

It is an arithmetic number, because the mean of its divisors is an integer number (434075760).

Almost surely, 223424096102 is an apocalyptic number.

23424096102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424096102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780848640).

23424096102 is an abundant number, since it is smaller than the sum of its proper divisors (32137601178).

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

23424096102 is a wasteful number, since it uses less digits than its factorization.

23424096102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506.

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 23424096102 in words is "twenty-three billion, four hundred twenty-four million, ninety-six thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 107 118 177 187 214 321 354 374 561 642 649 1003 1122 1177 1298 1819 1947 2006 2354 3009 3307 3531 3638 3894 5457 6018 6313 6614 7062 9921 10914 11033 12626 18939 19842 20009 22066 33099 36377 37878 40018 56219 60027 66198 69443 72754 107321 109131 112438 120054 138886 168657 195113 208329 214642 218262 321963 337314 353849 390226 416658 585339 618409 643926 707698 1061547 1170678 1180531 1236818 1855227 2123094 2146243 2361062 3316921 3541593 3710454 3892339 4292486 6015433 6438729 6633842 7083186 7784678 9950763 11677017 12030866 12877458 18046299 19901526 20877091 23354034 36092598 36486131 41754182 62631273 66169763 72972262 109458393 125262546 132339526 198509289 218916786 229648001 354910547 397018578 459296002 688944003 709821094 1064731641 1377888006 2129463282 3904016017 7808032034 11712048051 23424096102