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102021210999 = 321937155910343
BaseRepresentation
bin101111100000011110…
…0000010001101110111
3100202100000220111111100
41133000330002031313
53132414412222444
6114511244341143
710241115661641
oct1370074021567
9322300814440
10102021210999
113a2a334a914
12179328447b3
13980b4a2496
144d1b67b891
1529c18dbe69
hex17c0f02377

102021210999 has 48 divisors (see below), whose sum is σ = 159430003200. Its totient is φ = 62646706368.

The previous prime is 102021210971. The next prime is 102021211001. The reversal of 102021210999 is 999012120201.

It is not a de Polignac number, because 102021210999 - 225 = 101987656567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021210959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9858622 + ... + 9868964.

It is an arithmetic number, because the mean of its divisors is an integer number (3321458400).

Almost surely, 2102021210999 is an apocalyptic number.

102021210999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102021210999 is a deficient number, since it is larger than the sum of its proper divisors (57408792201).

102021210999 is a wasteful number, since it uses less digits than its factorization.

102021210999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 102021210999 in words is "one hundred two billion, twenty-one million, two hundred ten thousand, nine hundred ninety-nine".

Divisors: 1 3 9 19 37 57 111 171 333 703 1559 2109 4677 6327 10343 14031 29621 31029 57683 88863 93087 173049 196517 266589 382691 519147 589551 1095977 1148073 1768653 3287931 3444219 7271129 9863793 16124737 21813387 48374211 65440161 145122633 306370003 596615269 919110009 1789845807 2757330027 5369537421 11335690111 34007070333 102021210999