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120230011132 = 2271117190712041
BaseRepresentation
bin110111111111001000…
…1000110000011111100
3102111100000222101110021
41233332101012003330
53432212340324012
6131122150221524
711454261142540
oct1577621060374
9374300871407
10120230011132
1146a97785970
121b3749548a4
13b450a4b72a
145b67adba20
1531da28c007
hex1bfe4460fc

120230011132 has 96 divisors (see below), whose sum is σ = 277919341056. Its totient is φ = 44060620800.

The previous prime is 120230011123. The next prime is 120230011159. The reversal of 120230011132 is 231110032021.

It is a congruent number.

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, 9979032 + ... + 9991072.

It is an arithmetic number, because the mean of its divisors is an integer number (2894993136).

Almost surely, 2120230011132 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 120230011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138959670528).

120230011132 is an abundant number, since it is smaller than the sum of its proper divisors (157689329924).

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

120230011132 is a wasteful number, since it uses less digits than its factorization.

120230011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13987 (or 13985 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120230011132 its reverse (231110032021), we get a palindrome (351340043153).

The spelling of 120230011132 in words is "one hundred twenty billion, two hundred thirty million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 1907 2618 3814 5236 7628 12041 13349 20977 24082 26698 32419 41954 48164 53396 64838 83908 84287 129676 132451 146839 168574 204697 226933 264902 293678 337148 356609 409394 453866 529804 587356 713218 818788 907732 927157 1426436 1432879 1854314 2251667 2496263 2865758 3708628 4503334 4992526 5731516 9006668 9985052 15761669 22962187 31523338 45924374 63046676 91848748 160735309 252584057 321470618 390357179 505168114 642941236 780714358 1010336228 1561428716 1768088399 2732500253 3536176798 4293928969 5465000506 7072353596 8587857938 10930001012 17175715876 30057502783 60115005566 120230011132