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102031020222032 = 241137971271916659
BaseRepresentation
bin10111001100101111110010…
…101101110110011001010000
3111101021001220020011221011002
4113030233302231312121100
5101333134012134101112
61001000223102441132
730330332540162366
oct2714576255663120
9441231806157132
10102031020222032
112a568126a769a0
12b53a3662931a8
1344c163a23ca85
141b2a4833dd636
15bbe0dac4e1c2
hex5ccbf2b76650

102031020222032 has 320 divisors, whose sum is σ = 226745167380480. Its totient is φ = 44068843929600.

The previous prime is 102031020222011. The next prime is 102031020222041. The reversal of 102031020222032 is 230222020130201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102031020221995 and 102031020222013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15322270319 + ... + 15322276977.

It is an arithmetic number, because the mean of its divisors is an integer number (708578648064).

Almost surely, 2102031020222032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031020222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113372583690240).

102031020222032 is an abundant number, since it is smaller than the sum of its proper divisors (124714147158448).

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

102031020222032 is a wasteful number, since it uses less digits than its factorization.

102031020222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102031020222032 its reverse (230222020130201), we get a palindrome (332253040352233).

The spelling of 102031020222032 in words is "one hundred two trillion, thirty-one billion, twenty million, two hundred twenty-two thousand, thirty-two".