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13122112100202 = 2327196781809699
BaseRepresentation
bin1011111011110011101011…
…0101001001011101101010
31201110110110112221221120100
42332330322311021131222
53204443041144201302
643524114242410230
72523020112335340
oct276747265113552
951413415857510
1013122112100202
1141aa069207a76
12157b1a0960976
13742543609101
14335183a87990
1517b509c94d1c
hexbef3ad4976a

13122112100202 has 96 divisors (see below), whose sum is σ = 34713491904000. Its totient is φ = 3498837164064.

The previous prime is 13122112100179. The next prime is 13122112100213. The reversal of 13122112100202 is 20200121122131.

13122112100202 is a `hidden beast` number, since 1 + 31 + 221 + 1 + 210 + 0 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40744452 + ... + 41065247.

It is an arithmetic number, because the mean of its divisors is an integer number (361598874000).

Almost surely, 213122112100202 is an apocalyptic number.

13122112100202 is an abundant number, since it is smaller than the sum of its proper divisors (21591379803798).

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

13122112100202 is a wasteful number, since it uses less digits than its factorization.

13122112100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81809800 (or 81809797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13122112100202 its reverse (20200121122131), we get a palindrome (33322233222333).

The spelling of 13122112100202 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 67 114 126 133 134 171 201 266 342 399 402 469 603 798 938 1197 1206 1273 1407 2394 2546 2814 3819 4221 7638 8442 8911 11457 17822 22914 26733 53466 80199 160398 81809699 163619398 245429097 490858194 572667893 736287291 1145335786 1472574582 1554384281 1718003679 3108768562 3436007358 4663152843 5154011037 5481249833 9326305686 10308022074 10880689967 10962499666 13989458529 16443749499 21761379934 27978917058 32642069901 32887498998 38368748831 49331248497 65284139802 76737497662 97926209703 98662496994 104143746827 115106246493 195852419406 208287493654 230212492986 312431240481 345318739479 624862480962 690637478958 729006227789 937293721443 1458012455578 1874587442886 2187018683367 4374037366734 6561056050101 13122112100202