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23113124040 = 2335533739743
BaseRepresentation
bin10101100001101001…
…100100100011001000
32012122210102100121010
4111201221210203020
5334313424432130
614341254243520
71445523212166
oct254151444310
965583370533
1023113124040
119890835206
1245906565a0
132244649476
141193938236
159042080b0
hex561a648c8

23113124040 has 128 divisors (see below), whose sum is σ = 70844336640. Its totient is φ = 6030375936.

The previous prime is 23113124011. The next prime is 23113124071. The reversal of 23113124040 is 4042131132.

It is a junction number, because it is equal to n+sod(n) for n = 23113123998 and 23113124016.

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, 2367409 + ... + 2377151.

It is an arithmetic number, because the mean of its divisors is an integer number (553471380).

Almost surely, 223113124040 is an apocalyptic number.

23113124040 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 23113124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35422168320).

23113124040 is an abundant number, since it is smaller than the sum of its proper divisors (47731212600).

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

23113124040 is a wasteful number, since it uses less digits than its factorization.

23113124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10183 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23113124040 its reverse (4042131132), we get a palindrome (27155255172).

It can be divided in two parts, 23113 and 124040, that added together give a triangular number (147153 = T542).

The spelling of 23113124040 in words is "twenty-three billion, one hundred thirteen million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 373 424 530 636 746 795 1060 1119 1272 1492 1590 1865 2120 2238 2984 3180 3730 4476 5595 6360 7460 8952 9743 11190 14920 19486 19769 22380 29229 38972 39538 44760 48715 58458 59307 77944 79076 97430 98845 116916 118614 146145 158152 194860 197690 233832 237228 292290 296535 389720 395380 474456 516379 584580 593070 790760 1032758 1169160 1186140 1549137 2065516 2372280 2581895 3098274 3634139 4131032 5163790 6196548 7268278 7745685 10327580 10902417 12393096 14536556 15491370 18170695 20655160 21804834 29073112 30982740 36341390 43609668 54512085 61965480 72682780 87219336 109024170 145365560 192609367 218048340 385218734 436096680 577828101 770437468 963046835 1155656202 1540874936 1926093670 2311312404 2889140505 3852187340 4622624808 5778281010 7704374680 11556562020 23113124040