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2312400112 = 24111731107233
BaseRepresentation
bin1000100111010100…
…0110110011110000
312222011012002121121
42021311012303300
514213433300422
61021242432024
7111206035201
oct21165066360
95864162547
102312400112
11a87320480
12546502614
132ab0c72b9
1417d1795a8
15d80208c7
hex89d46cf0

2312400112 has 160 divisors (see below), whose sum is σ = 5415081984. Its totient is φ = 944332800.

The previous prime is 2312400109. The next prime is 2312400113. The reversal of 2312400112 is 2110042132.

It is a super-2 number, since 2×23124001122 = 10694388555955225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312400113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9924348 + ... + 9924580.

Almost surely, 22312400112 is an apocalyptic number.

2312400112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707540992).

2312400112 is an abundant number, since it is smaller than the sum of its proper divisors (3102681872).

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

2312400112 is a wasteful number, since it uses less digits than its factorization.

2312400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2312400112 is about 48087.4215569935. The cubic root of 2312400112 is about 1322.3740777259.

Adding to 2312400112 its reverse (2110042132), we get a palindrome (4422442244).

The spelling of 2312400112 in words is "two billion, three hundred twelve million, four hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 107 124 136 176 187 214 233 248 272 341 374 428 466 496 527 682 748 856 932 1054 1177 1364 1496 1712 1819 1864 2108 2354 2563 2728 2992 3317 3638 3728 3961 4216 4708 5126 5456 5797 6634 7223 7276 7922 8432 9416 10252 11594 13268 14446 14552 15844 18832 20009 20504 23188 24931 26536 28892 29104 31688 36487 40018 41008 43571 46376 49862 53072 56389 57784 63376 72974 79453 80036 87142 92752 99724 112778 115568 122791 145948 158906 160072 174284 199448 225556 245582 274241 291896 317812 320144 348568 398896 423827 451112 491164 548482 583792 620279 635624 697136 772861 847654 902224 982328 1096964 1240558 1271248 1350701 1545722 1695308 1964656 2193928 2481116 2701402 3091444 3390616 4387856 4662097 4962232 5402804 6182888 6781232 8501471 9324194 9924464 10805608 12365776 13138637 17002942 18648388 21611216 26277274 34005884 37296776 52554548 68011768 74593552 105109096 136023536 144525007 210218192 289050014 578100028 1156200056 2312400112