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101001120210012 = 2231137119317334451
BaseRepresentation
bin10110111101110000100111…
…111001000101110001011100
3111020121121112201121112000110
4112331300213321011301130
5101214300243233210022
6554451135111130020
730163042625416551
oct2675604771056134
9436547481545013
10101001120210012
112a2003752a0470
12b3b283a973910
13444849851a339
141ad26a1d38a28
15ba240e56000c
hex5bdc27e45c5c

101001120210012 has 96 divisors (see below), whose sum is σ = 264263582064384. Its totient is φ = 29754236736000.

The previous prime is 101001120209999. The next prime is 101001120210031. The reversal of 101001120210012 is 210012021100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101001120210012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2840614 + ... + 14493837.

It is an arithmetic number, because the mean of its divisors is an integer number (2752745646504).

Almost surely, 2101001120210012 is an apocalyptic number.

101001120210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001120210012 is an abundant number, since it is smaller than the sum of its proper divisors (163262461854372).

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

101001120210012 is a wasteful number, since it uses less digits than its factorization.

101001120210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335699 (or 17335697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001120210012 its reverse (210012021100101), we get a palindrome (311013141310113).

The spelling of 101001120210012 in words is "one hundred one trillion, one billion, one hundred twenty million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1193 1221 1628 2386 2442 3579 4772 4884 7158 13123 14316 26246 39369 44141 52492 78738 88282 132423 157476 176564 264846 485551 529692 971102 1456653 1942204 2913306 5826612 17334451 34668902 52003353 69337804 104006706 190678961 208013412 381357922 572036883 641374687 762715844 1144073766 1282749374 1924124061 2288147532 2565498748 3848248122 7055121557 7696496244 14110243114 20680000043 21165364671 28220486228 41360000086 42330729342 62040000129 82720000172 84661458684 124080000258 227480000473 248160000516 454960000946 682440001419 765160001591 909920001892 1364880002838 1530320003182 2295480004773 2729760005676 3060640006364 4590960009546 8416760017501 9181920019092 16833520035002 25250280052503 33667040070004 50500560105006 101001120210012