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102210022000202 = 21773791373804907
BaseRepresentation
bin10111001111010110100000…
…000011011100011001001010
3111101220011221011121102110212
4113033112200003130121022
5101344102111113001302
61001214345204041122
730346300425165644
oct2717264003343112
9441804834542425
10102210022000202
112a62703289a256
12b568ba16931a2
13450549611a5cc
141b34dc47d1894
15bc3ab59c8052
hex5cf5a00dc64a

102210022000202 has 64 divisors (see below), whose sum is σ = 167856712542720. Its totient is φ = 46497534160896.

The previous prime is 102210022000193. The next prime is 102210022000231. The reversal of 102210022000202 is 202000220012201.

It is a super-3 number, since 3×1022100220002023 (a number of 43 digits) contains 333 as substring.

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, 24960233 + ... + 28765139.

It is an arithmetic number, because the mean of its divisors is an integer number (2622761133480).

Almost surely, 2102210022000202 is an apocalyptic number.

102210022000202 is a deficient number, since it is larger than the sum of its proper divisors (65646690542518).

102210022000202 is a wasteful number, since it uses less digits than its factorization.

102210022000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805215.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102210022000202 its reverse (202000220012201), we get a palindrome (304210242012403).

The spelling of 102210022000202 in words is "one hundred two trillion, two hundred ten billion, twenty-two million, two hundred two", and thus it is an aban number.

Divisors: 1 2 17 34 73 79 137 146 158 274 1241 1343 2329 2482 2686 4658 5767 10001 10823 11534 20002 21646 98039 170017 183991 196078 340034 367982 790079 1580158 3804907 7609814 13431343 26862686 64683419 129366838 277758211 300587653 521272259 555516422 601175306 1042544518 4721889587 5109990101 8861628403 9443779174 10219980202 17723256806 21942898669 38052874907 41180508461 43885797338 76105749814 82361016922 373029277373 646898873419 700068643837 746058554746 1293797746838 1400137287674 3006177117653 6012354235306 51105011000101 102210022000202