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102210022012112 = 2474703194044117
BaseRepresentation
bin10111001111010110100000…
…000011011111010011010000
3111101220011221011122000210222
4113033112200003133103100
5101344102111113341422
61001214345204212212
730346300425245450
oct2717264003372320
9441804834560728
10102210022012112
112a6270328a81a3
12b568ba169a068
134505496122b61
141b34dc47d5d60
15bc3ab59cb842
hex5cf5a00df4d0

102210022012112 has 40 divisors (see below), whose sum is σ = 226370315705856. Its totient is φ = 43794980804736.

The previous prime is 102210022012103. The next prime is 102210022012123. The reversal of 102210022012112 is 211210220012201.

It is a super-3 number, since 3×1022100220121123 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 96495323 + ... + 97548794.

Almost surely, 2102210022012112 is an apocalyptic number.

It is an amenable number.

102210022012112 is an abundant number, since it is smaller than the sum of its proper divisors (124160293693744).

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

102210022012112 is a wasteful number, since it uses less digits than its factorization.

102210022012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194048835 (or 194048829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102210022012112 its reverse (211210220012201), we get a palindrome (313420242024313).

The spelling of 102210022012112 in words is "one hundred two trillion, two hundred ten billion, twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 4703 9406 18812 32921 37624 65842 75248 131684 263368 526736 194044117 388088234 776176468 1358308819 1552352936 2716617638 3104705872 5433235276 10866470552 21732941104 912589482251 1825178964502 3650357929004 6388126375757 7300715858008 12776252751514 14601431716016 25552505503028 51105011006056 102210022012112