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10131124320240 = 2435711548221013
BaseRepresentation
bin1001001101101101011000…
…0100001111011111110000
31022212112012110202212212120
42103123112010033133300
52311442020311221430
633314101350154240
72063643463566240
oct223332604173760
938775173685776
1010131124320240
113256649619630
121177591052980
1358648cc476b1
142704c5a67b20
15128801843610
hex936d610f7f0

10131124320240 has 160 divisors (see below), whose sum is σ = 39156137703936. Its totient is φ = 2105168686080.

The previous prime is 10131124320221. The next prime is 10131124320271. The reversal of 10131124320240 is 4202342113101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10131124320240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274092027 + ... + 274128986.

Almost surely, 210131124320240 is an apocalyptic number.

10131124320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131124320240 is an abundant number, since it is smaller than the sum of its proper divisors (29025013383696).

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

10131124320240 is a wasteful number, since it uses less digits than its factorization.

10131124320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548221047 (or 548221041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10131124320240 its reverse (4202342113101), we get a palindrome (14333466433341).

The spelling of 10131124320240 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-four million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 548221013 1096442026 1644663039 2192884052 2741105065 3289326078 3837547091 4385768104 5482210130 6030431143 6578652156 7675094182 8223315195 8771536208 10964420260 11512641273 12060862286 13157304312 15350188364 16446630390 18091293429 19187735455 21928840520 23025282546 24121724572 26314608624 30152155715 30700376728 32893260780 36182586858 38375470910 42213018001 43857681040 46050565092 48243449144 57563206365 60304311430 61400753456 65786521560 72365173716 76750941820 84426036002 90456467145 92101130184 96486898288 115126412730 120608622860 126639054003 131573043120 144730347432 153501883640 168852072004 180912934290 184202260368 211065090005 230252825460 241217245720 253278108006 289460694864 307003767280 337704144008 361825868580 422130180010 460505650920 482434491440 506556216012 633195270015 675408288016 723651737160 844260360020 921011301840 1013112432024 1266390540030 1447303474320 1688520720040 2026224864048 2532781080060 3377041440080 5065562160120 10131124320240