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102012012101986 = 27314115137966519
BaseRepresentation
bin10111001100011110000101…
…101111101000000101100010
3111101012020211112001101101221
4113030132011233220011202
5101332331100044230421
61000543401004445254
730326060520626650
oct2714360557500542
9441166745041357
10102012012101986
112a560062424a78
12b53674054982a
1344bc8cb1bb36c
141b2959cb4ddd0
15bbd87710d841
hex5cc785be8162

102012012101986 has 64 divisors (see below), whose sum is σ = 186146506506240. Its totient is φ = 41003839440000.

The previous prime is 102012012101947. The next prime is 102012012102037. The reversal of 102012012101986 is 689101210210201.

It is a super-2 number, since 2×1020120121019862 (a number of 29 digits) contains 22 as substring.

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, 16296366 + ... + 21670153.

It is an arithmetic number, because the mean of its divisors is an integer number (2908539164160).

Almost surely, 2102012012101986 is an apocalyptic number.

102012012101986 is a deficient number, since it is larger than the sum of its proper divisors (84134494404254).

102012012101986 is a wasteful number, since it uses less digits than its factorization.

102012012101986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37966751.

The product of its (nonzero) digits is 3456, while the sum is 34.

The spelling of 102012012101986 in words is "one hundred two trillion, twelve billion, twelve million, one hundred one thousand, nine hundred eighty-six".

Divisors: 1 2 7 14 31 41 62 82 151 217 287 302 434 574 1057 1271 2114 2542 4681 6191 8897 9362 12382 17794 32767 43337 65534 86674 191921 383842 1343447 2686894 37966519 75933038 265765633 531531266 1176962089 1556627279 2353924178 3113254558 5732944369 8238734623 10896390953 11465888738 16477469246 21792781906 40130610583 48255445649 80261221166 96510891298 177721275439 235050719129 337788119543 355442550878 470101438258 675576239086 1244048928073 1645355033903 2488097856146 3290710067806 7286572292999 14573144585998 51006006050993 102012012101986