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23042314100 = 22521338346279
BaseRepresentation
bin10101011101011011…
…011100111101110100
32012110212011211121202
4111131123130331310
5334142313022400
614330244432032
71444003303211
oct253533347564
965425154552
1023042314100
1198548706a3
1245709a8618
132232a860b0
141188384b08
158ecdbc4d5
hex55d6dcf74

23042314100 has 72 divisors (see below), whose sum is σ = 53989877760. Its totient is φ = 8485534080.

The previous prime is 23042314039. The next prime is 23042314129. The reversal of 23042314100 is 141324032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474761 + ... + 521039.

Almost surely, 223042314100 is an apocalyptic number.

23042314100 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 23042314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26994938880).

23042314100 is an abundant number, since it is smaller than the sum of its proper divisors (30947563660).

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

23042314100 is a wasteful number, since it uses less digits than its factorization.

23042314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46689 (or 46682 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23042314100 its reverse (141324032), we get a palindrome (23183638132).

The spelling of 23042314100 in words is "twenty-three billion, forty-two million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 383 650 766 1300 1532 1915 3830 4979 7660 9575 9958 19150 19916 24895 38300 46279 49790 92558 99580 124475 185116 231395 248950 462790 497900 601627 925580 1156975 1203254 2313950 2406508 3008135 4627900 6016270 12032540 15040675 17724857 30081350 35449714 60162700 70899428 88624285 177248570 230423141 354497140 443121425 460846282 886242850 921692564 1152115705 1772485700 2304231410 4608462820 5760578525 11521157050 23042314100