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10102202010012 = 22373592927114451
BaseRepresentation
bin1001001100000001101000…
…1010011000100110011100
31022202202112211100021221110
42103000122022120212130
52311003302203310022
633252515412502020
72061600661163130
oct223003212304634
938682484307843
1010102202010012
113245357741902
121171a5b01a910
13583830c21468
1426cd407d13c0
15127bac64500c
hex9301a29899c

10102202010012 has 96 divisors (see below), whose sum is σ = 27023710371840. Its totient is φ = 2877294974400.

The previous prime is 10102202010001. The next prime is 10102202010067. The reversal of 10102202010012 is 21001020220101.

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 10102202010012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88209387 + ... + 88323837.

It is an arithmetic number, because the mean of its divisors is an integer number (281496983040).

Almost surely, 210102202010012 is an apocalyptic number.

10102202010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102202010012 is an abundant number, since it is smaller than the sum of its proper divisors (16921508361828).

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

10102202010012 is a wasteful number, since it uses less digits than its factorization.

10102202010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117751 (or 117749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102202010012 its reverse (21001020220101), we get a palindrome (31103222230113).

The spelling of 10102202010012 in words is "ten trillion, one hundred two billion, two hundred two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 359 718 1077 1436 2154 2513 2927 4308 5026 5854 7539 8781 10052 11708 15078 17562 20489 30156 35124 40978 61467 81956 114451 122934 228902 245868 343353 457804 686706 801157 1050793 1373412 1602314 2101586 2403471 3152379 3204628 4203172 4806942 6304758 7355551 9613884 12609516 14711102 22066653 29422204 41087909 44133306 82175818 88266612 123263727 164351636 246527454 287615363 334998077 493054908 575230726 669996154 862846089 1004994231 1150461452 1339992308 1725692178 2009988462 2344986539 3451384356 4019976924 4689973078 7034959617 9379946156 14069919234 28139838468 120264309643 240528619286 360792928929 481057238572 721585857858 841850167501 1443171715716 1683700335002 2525550502503 3367400670004 5051101005006 10102202010012