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10122110210920 = 2351915784831631
BaseRepresentation
bin1001001101001011110011…
…0010001001001101101000
31022211122221021010200111211
42103102330302021031220
52311320040203222140
633310011102402504
72063204220122161
oct223227462111550
938748837120454
1010122110210920
113252843370904
121175896290434
135856845972b6
1426dcac81c768
151284752cb2ea
hex934bcc89368

10122110210920 has 64 divisors (see below), whose sum is σ = 24126116140800. Its totient is φ = 3811315472640.

The previous prime is 10122110210827. The next prime is 10122110210921. The reversal of 10122110210920 is 2901201122101.

It is a junction number, because it is equal to n+sod(n) for n = 10122110210891 and 10122110210900.

It is not an unprimeable number, because it can be changed into a prime (10122110210921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42296496 + ... + 42535135.

It is an arithmetic number, because the mean of its divisors is an integer number (376970564700).

Almost surely, 210122110210920 is an apocalyptic number.

10122110210920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122110210920 is an abundant number, since it is smaller than the sum of its proper divisors (14004005929880).

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

10122110210920 is a wasteful number, since it uses less digits than its factorization.

10122110210920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84831818 (or 84831814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10122110210920 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 190 314 380 628 760 785 1256 1570 2983 3140 5966 6280 11932 14915 23864 29830 59660 119320 84831631 169663262 339326524 424158155 678653048 848316310 1611800989 1696632620 3223601978 3393265240 6447203956 8059004945 12894407912 13318566067 16118009890 26637132134 32236019780 53274264268 64472039560 66592830335 106548528536 133185660670 253052755273 266371321340 506105510546 532742642680 1012211021092 1265263776365 2024422042184 2530527552730 5061055105460 10122110210920