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10993870125 = 335373712577
BaseRepresentation
bin10100011110100100…
…10010010100101101
31001101011220110122000
422033102102110231
5140003412321000
65014524442513
7536303232330
oct121722222455
931334813560
1010993870125
114731831387
1221699a9439
13106288c4c4
14764156617
1544527d000
hex28f49252d

10993870125 has 128 divisors (see below), whose sum is σ = 23859962880. Its totient is φ = 4889548800.

The previous prime is 10993870057. The next prime is 10993870169. The reversal of 10993870125 is 52107839901.

It is not a de Polignac number, because 10993870125 - 213 = 10993861933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 867837 + ... + 880413.

It is an arithmetic number, because the mean of its divisors is an integer number (186405960).

Almost surely, 210993870125 is an apocalyptic number.

10993870125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10993870125 is an abundant number, since it is smaller than the sum of its proper divisors (12866092755).

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

10993870125 is a wasteful number, since it uses less digits than its factorization.

10993870125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12645 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10993870125 in words is "ten billion, nine hundred ninety-three million, eight hundred seventy thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 37 45 63 75 105 111 125 135 175 185 189 225 259 315 333 375 525 555 675 777 875 925 945 999 1125 1295 1575 1665 2331 2625 2775 3375 3885 4625 4725 4995 6475 6993 7875 8325 11655 12577 13875 19425 23625 24975 32375 34965 37731 41625 58275 62885 88039 97125 113193 124875 174825 188655 264117 291375 314425 339579 440195 465349 565965 792351 874125 943275 1320585 1396047 1572125 1697895 2200975 2326745 2377053 2829825 3257443 3961755 4188141 4716375 6602925 6980235 8489475 9772329 11004875 11633725 11885265 12564423 14149125 16287215 19808775 20940705 29316987 33014625 34901175 42447375 48861645 58168625 59426325 62822115 81436075 87950961 99043875 104703525 146584935 174505875 244308225 297131625 314110575 407180375 439754805 523517625 732924675 1221541125 1570552875 2198774025 3664623375 10993870125