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124112102040 = 23335412802893
BaseRepresentation
bin111001110010110101…
…0000110001010011000
3102212100120211001001000
41303211222012022120
54013140144231130
6133003305025000
711652420314043
oct1634552061230
9385316731030
10124112102040
11486aa056263
1220078a85160
13b91c0c8b44
14601551bc5a
153365ec1260
hex1ce5a86298

124112102040 has 128 divisors (see below), whose sum is σ = 423797572800. Its totient is φ = 32289315840.

The previous prime is 124112102033. The next prime is 124112102041. The reversal of 124112102040 is 40201211421.

124112102040 is a `hidden beast` number, since 1 + 2 + 411 + 210 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124112102041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357167 + ... + 1445726.

Almost surely, 2124112102040 is an apocalyptic number.

124112102040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124112102040 is an abundant number, since it is smaller than the sum of its proper divisors (299685470760).

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

124112102040 is a wasteful number, since it uses less digits than its factorization.

124112102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802954 (or 2802944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 124112102040 its reverse (40201211421), we get a palindrome (164313313461).

The spelling of 124112102040 in words is "one hundred twenty-four billion, one hundred twelve million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 44280 2802893 5605786 8408679 11211572 14014465 16817358 22423144 25226037 28028930 33634716 42043395 50452074 56057860 67269432 75678111 84086790 100904148 112115720 114918613 126130185 151356222 168173580 201808296 229837226 252260370 302712444 336347160 344755839 378390555 459674452 504520740 574593065 605424888 689511678 756781110 919348904 1009041480 1034267517 1149186130 1379023356 1513562220 1723779195 2068535034 2298372260 2758046712 3027124440 3102802551 3447558390 4137070068 4596744520 5171337585 6205605102 6895116780 8274140136 10342675170 12411210204 13790233560 15514012755 20685350340 24822420408 31028025510 41370700680 62056051020 124112102040