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102022121202012 = 22331185877206399
BaseRepresentation
bin10111001100100111100000…
…010010110010000101011100
3111101020012221001002212122000
4113030213200102302011130
5101333012301011431022
61000552152045522300
730326566161564534
oct2714474022620534
9441205831085560
10102022121202012
112a56437a7864a0
12b5386a1b73390
1344c084c68735b
141b29c7b5924c4
15bbdc6986c6ac
hex5cc9e04b215c

102022121202012 has 48 divisors (see below), whose sum is σ = 288547413504000. Its totient is φ = 30915794303280.

The previous prime is 102022121201969. The next prime is 102022121202101. The reversal of 102022121202012 is 210202121220201.

It is a happy number.

102022121202012 is a `hidden beast` number, since 10 + 20 + 221 + 212 + 0 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42938602012 + ... + 42938604387.

It is an arithmetic number, because the mean of its divisors is an integer number (6011404448000).

Almost surely, 2102022121202012 is an apocalyptic number.

102022121202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022121202012 is an abundant number, since it is smaller than the sum of its proper divisors (186525292301988).

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

102022121202012 is a wasteful number, since it uses less digits than its factorization.

102022121202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85877206423 (or 85877206415 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102022121202012 its reverse (210202121220201), we get a palindrome (312224242422213).

The spelling of 102022121202012 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 85877206399 171754412798 257631619197 343508825596 515263238394 772894857591 944649270389 1030526476788 1545789715182 1889298540778 2318684572773 2833947811167 3091579430364 3778597081556 4637369145546 5667895622334 8501843433501 9274738291092 11335791244668 17003686867002 25505530300503 34007373734004 51011060601006 102022121202012