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112301101332 = 223273141350621
BaseRepresentation
bin110100010010110101…
…0101101000100010100
3101201212110100000222100
41220211222231010110
53314443040220312
6123331310202100
711053632416460
oct1504552550424
9351773300870
10112301101332
1143699053652
12199214b3330
13a789169424
145614a5b4a0
152dc41355dc
hex1a25aad114

112301101332 has 144 divisors (see below), whose sum is σ = 343059784704. Its totient is φ = 30293568000.

The previous prime is 112301101327. The next prime is 112301101343. The reversal of 112301101332 is 233101103211.

112301101332 is a `hidden beast` number, since 1 + 1 + 230 + 1 + 101 + 332 = 666.

It is a super-2 number, since 2×1123011013322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 144982 + ... + 495602.

It is an arithmetic number, because the mean of its divisors is an integer number (2382359616).

Almost surely, 2112301101332 is an apocalyptic number.

112301101332 is a gapful number since it is divisible by the number (12) 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 112301101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171529892352).

112301101332 is an abundant number, since it is smaller than the sum of its proper divisors (230758683372).

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

112301101332 is a wasteful number, since it uses less digits than its factorization.

112301101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350710 (or 350705 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112301101332 its reverse (233101103211), we get a palindrome (345402204543).

The spelling of 112301101332 in words is "one hundred twelve billion, three hundred one million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 41 42 62 63 82 84 93 123 124 126 164 186 217 246 252 279 287 369 372 434 492 558 574 651 738 861 868 1116 1148 1271 1302 1476 1722 1953 2542 2583 2604 3444 3813 3906 5084 5166 7626 7812 8897 10332 11439 15252 17794 22878 26691 35588 45756 53382 80073 106764 160146 320292 350621 701242 1051863 1402484 2103726 2454347 3155589 4207452 4908694 6311178 7363041 9817388 10869251 12622356 14375461 14726082 21738502 22089123 28750922 29452164 32607753 43126383 43477004 44178246 57501844 65215506 76084757 86252766 88356492 97823259 100628227 129379149 130431012 152169514 172505532 195646518 201256454 228254271 258758298 301884681 304339028 391293036 402512908 445639291 456508542 517516596 603769362 684762813 891278582 905654043 913017084 1207538724 1336917873 1369525626 1782557164 1811308086 2673835746 2739051252 3119475037 3622616172 4010753619 5347671492 6238950074 8021507238 9358425111 12477900148 16043014476 18716850222 28075275333 37433700444 56150550666 112301101332