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328181233122 = 231016672
BaseRepresentation
bin1001100011010010010…
…00000011010111100010
31011101002111220000000000
410301221020003113202
520334103343424442
6410433034440430
732465431312011
oct4615110032742
91141074800000
10328181233122
111171a9828906
125372b293116
1324c41462892
1411c53bcaa78
15880b7c3d4c
hex4c692035e2

328181233122 has 66 divisors (see below), whose sum is σ = 738846825483. Its totient is φ = 109328121252.

The previous prime is 328181233103. The next prime is 328181233151. The reversal of 328181233122 is 221332181823.

328181233122 is a `hidden beast` number, since 328 + 1 + 8 + 12 + 3 + 312 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164090616561 + 164090616561 = 405081^2 + 405081^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=405081.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 196868533 + ... + 196870199.

Almost surely, 2328181233122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328181233122

328181233122 is an abundant number, since it is smaller than the sum of its proper divisors (410665592361).

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

328181233122 is an frugal number, since it uses more digits than its factorization.

328181233122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 1672 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 328181233122 in words is "three hundred twenty-eight billion, one hundred eighty-one million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1667 2187 3334 4374 5001 6561 10002 13122 15003 19683 30006 39366 45009 59049 90018 118098 135027 270054 405081 810162 1215243 2430486 2778889 3645729 5557778 7291458 8336667 10937187 16673334 21874374 25010001 32811561 50020002 65623122 75030003 98434683 150060006 196869366 225090009 450180018 675270027 1350540054 2025810081 4051620162 6077430243 12154860486 18232290729 36464581458 54696872187 109393744374 164090616561 328181233122