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123040322152 = 231123329918427
BaseRepresentation
bin111001010010111000…
…1100101001001101000
3102202120220001222102121
41302211301211021220
54003441310302102
6132305101041024
711614024324246
oct1624561451150
9382526058377
10123040322152
11481aa066160
121ba19b56174
13b7ab048c67
145d53047796
153301d61b37
hex1ca5c65268

123040322152 has 64 divisors (see below), whose sum is σ = 262709568000. Its totient is φ = 53476674240.

The previous prime is 123040322143. The next prime is 123040322183. The reversal of 123040322152 is 251223040321.

It is a super-2 number, since 2×1230403221522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6667963 + ... + 6686389.

It is an arithmetic number, because the mean of its divisors is an integer number (4104837000).

Almost surely, 2123040322152 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 123040322152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131354784000).

123040322152 is an abundant number, since it is smaller than the sum of its proper divisors (139669245848).

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

123040322152 is a wasteful number, since it uses less digits than its factorization.

123040322152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21766 (or 21762 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 123040322152 its reverse (251223040321), we get a palindrome (374263362473).

The spelling of 123040322152 in words is "one hundred twenty-three billion, forty million, three hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 3299 6598 13196 18427 26392 36289 36854 72578 73708 75877 145156 147416 151754 202697 290312 303508 405394 423821 607016 810788 834647 847642 1621576 1669294 1695284 3338588 3390568 4662031 6677176 9324062 18648124 37296248 60790673 121581346 243162692 486325384 668697403 1337394806 1398185479 2674789612 2796370958 5349579224 5592741916 11185483832 15380040269 30760080538 61520161076 123040322152