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12101210102331 = 337971201549607
BaseRepresentation
bin1011000000011000100001…
…0101000101101000111011
31120211212100010202000101000
42300012020111011220323
53041231234241233311
641423115201500043
72356166160463110
oct260061025055073
946755303660330
1012101210102331
113946104696779
121435366941623
1369a1a6b1cabc
142db9b763c907
1515eba84de056
hexb0188545a3b

12101210102331 has 64 divisors (see below), whose sum is σ = 20717319669760. Its totient is φ = 6837978009600.

The previous prime is 12101210102329. The next prime is 12101210102363. The reversal of 12101210102331 is 13320101210121.

12101210102331 is a `hidden beast` number, since 1 + 21 + 0 + 1 + 210 + 102 + 331 = 666.

It is not a de Polignac number, because 12101210102331 - 21 = 12101210102329 is a prime.

It is a super-2 number, since 2×121012101023312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12101210102381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21743130 + ... + 22292736.

It is an arithmetic number, because the mean of its divisors is an integer number (323708119840).

Almost surely, 212101210102331 is an apocalyptic number.

12101210102331 is a deficient number, since it is larger than the sum of its proper divisors (8616109567429).

12101210102331 is a wasteful number, since it uses less digits than its factorization.

12101210102331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550921 (or 550915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101210102331 its reverse (13320101210121), we get a palindrome (25421311312452).

The spelling of 12101210102331 in words is "twelve trillion, one hundred one billion, two hundred ten million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 97 189 291 679 873 1201 2037 2619 3603 6111 8407 10809 18333 25221 32427 75663 116497 226989 349491 549607 815479 1048473 1648821 2446437 3145419 3847249 4946463 7339311 11541747 14839389 22017933 34625241 53311879 103875723 159935637 373183153 479806911 660078007 1119549459 1439420733 1980234021 3358648377 4620546049 5940702063 10075945131 13861638147 17822106189 41584914441 64027566679 124754743323 192082700037 448192966753 576248100111 1344578900259 1728744300333 4033736700777 12101210102331