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83100033213825 = 35224140841112571
BaseRepresentation
bin10010111001010000111011…
…111101011110010110000001
3101220020021201012021002010110
4102321100323331132112001
541343002332000320300
6452423343411021533
723334531201505305
oct2271207375362601
9356207635232113
1083100033213825
1124529587376a61
1293a1414b9a8a9
13374a3b80305b4
1416740c50b5d05
15991951278550
hex4b943bf5e581

83100033213825 has 48 divisors (see below), whose sum is σ = 137966750044992. Its totient is φ = 44134644480000.

The previous prime is 83100033213823. The next prime is 83100033213853. The reversal of 83100033213825 is 52831233000138.

It is not a de Polignac number, because 83100033213825 - 21 = 83100033213823 is a prime.

It is a super-2 number, since 2×831000332138252 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83100033213823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738144790 + ... + 738257360.

It is an arithmetic number, because the mean of its divisors is an integer number (2874307292604).

Almost surely, 283100033213825 is an apocalyptic number.

It is an amenable number.

83100033213825 is a deficient number, since it is larger than the sum of its proper divisors (54866716831167).

83100033213825 is a wasteful number, since it uses less digits than its factorization.

83100033213825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153666 (or 153661 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 83100033213825 in words is "eighty-three trillion, one hundred billion, thirty-three million, two hundred thirteen thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 241 723 1205 3615 6025 18075 40841 112571 122523 204205 337713 562855 612615 1021025 1688565 2814275 3063075 8442825 9842681 27129611 29528043 49213405 81388833 135648055 147640215 246067025 406944165 678240275 738201075 2034720825 4597512211 13792536633 22987561055 68962683165 114937805275 344813415825 1108000442851 3324001328553 5540002214255 16620006642765 27700011071275 83100033213825