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2320132122 = 23271113912043
BaseRepresentation
bin1000101001001010…
…0110100000011010
312222200201220221100
42022102212200122
514222423211442
61022120252230
7111331540410
oct21222464032
95880656840
102320132122
11a90721670
12549011076
132ac8a3759
141801cd2b0
15d8a4b84c
hex8a4a681a

2320132122 has 96 divisors (see below), whose sum is σ = 6312983040. Its totient is φ = 598246560.

The previous prime is 2320132099. The next prime is 2320132141. The reversal of 2320132122 is 2212310232.

2320132122 is a `hidden beast` number, since 2 + 320 + 1 + 321 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2320132095 and 2320132104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186633 + ... + 198675.

It is an arithmetic number, because the mean of its divisors is an integer number (65760240).

Almost surely, 22320132122 is an apocalyptic number.

2320132122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156491520).

2320132122 is an abundant number, since it is smaller than the sum of its proper divisors (3992850918).

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

2320132122 is a wasteful number, since it uses less digits than its factorization.

2320132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12208 (or 12205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2320132122 is about 48167.7498125042. The cubic root of 2320132122 is about 1323.8463192867.

Adding to 2320132122 its reverse (2212310232), we get a palindrome (4532442354).

The spelling of 2320132122 in words is "two billion, three hundred twenty million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 139 154 198 231 278 417 462 693 834 973 1251 1386 1529 1946 2502 2919 3058 4587 5838 8757 9174 10703 12043 13761 17514 21406 24086 27522 32109 36129 64218 72258 84301 96327 108387 132473 168602 192654 216774 252903 264946 397419 505806 758709 794838 927311 1192257 1517418 1673977 1854622 2384514 2781933 3347954 5021931 5563866 8345799 10043862 11717839 15065793 16691598 18413747 23435678 30131586 35153517 36827494 55241241 70307034 105460551 110482482 128896229 165723723 210921102 257792458 331447446 386688687 773377374 1160066061 2320132122