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112001011304 = 2371310111031381
BaseRepresentation
bin110100001001111000…
…1111100111001101000
3101201002112122212211212
41220103301330321220
53313334224330204
6123241430212252
711043326613440
oct1502361747150
9351075585755
10112001011304
1143554718566
1219858ab4088
13a73bc39670
1455c6c63120
152da7b09c6e
hex1a13c7ce68

112001011304 has 128 divisors (see below), whose sum is σ = 261448750080. Its totient is φ = 43797888000.

The previous prime is 112001011289. The next prime is 112001011313. The reversal of 112001011304 is 403110100211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81100694 + ... + 81102074.

It is an arithmetic number, because the mean of its divisors is an integer number (2042568360).

Almost surely, 2112001011304 is an apocalyptic number.

112001011304 is a gapful number since it is divisible by the number (14) 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 112001011304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130724375040).

112001011304 is an abundant number, since it is smaller than the sum of its proper divisors (149447738776).

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

112001011304 is a wasteful number, since it uses less digits than its factorization.

112001011304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112001011304 its reverse (403110100211), we get a palindrome (515111111515).

The spelling of 112001011304 in words is "one hundred twelve billion, one million, eleven thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 728 808 1103 1313 1381 1414 2206 2626 2762 2828 4412 5252 5524 5656 7721 8824 9191 9667 10504 11048 14339 15442 17953 18382 19334 28678 30884 35906 36764 38668 57356 61768 71812 73528 77336 100373 111403 114712 125671 139481 143624 200746 222806 251342 278962 401492 445612 502684 557924 779821 802984 891224 976367 1005368 1115848 1448239 1523243 1559642 1813253 1952734 2896478 3046486 3119284 3626506 3905468 5792956 6092972 6238568 7253012 7810936 10137673 10662701 11585912 12185944 12692771 14506024 19802159 20275346 21325402 25385542 39604318 40550692 42650804 50771084 79208636 81101384 85301608 101542168 138615113 153847543 158417272 277230226 307695086 554460452 615390172 1076932801 1108920904 1230780344 2000018059 2153865602 4000036118 4307731204 8000072236 8615462408 14000126413 16000144472 28000252826 56000505652 112001011304