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11230100112 = 24371118116787
BaseRepresentation
bin10100111010101110…
…11011101010010000
31001222122102012020210
422131113123222100
5140444401200422
65054204004120
7545202163440
oct123527335220
931878365223
1011230100112
11484310a480
122214b30640
13109c7c036a
1478768a120
1545ad9210c
hex29d5dba90

11230100112 has 160 divisors (see below), whose sum is σ = 36371672064. Its totient is φ = 2900620800.

The previous prime is 11230100087. The next prime is 11230100131. The reversal of 11230100112 is 21100103211.

It is a super-2 number, since 2×112301001122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660583 + ... + 677369.

Almost surely, 211230100112 is an apocalyptic number.

11230100112 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 11230100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18185836032).

11230100112 is an abundant number, since it is smaller than the sum of its proper divisors (25141571952).

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

11230100112 is a wasteful number, since it uses less digits than its factorization.

11230100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16997 (or 16991 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11230100112 its reverse (21100103211), we get a palindrome (32330203323).

The spelling of 11230100112 in words is "eleven billion, two hundred thirty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 181 231 264 308 336 362 462 528 543 616 724 924 1086 1232 1267 1448 1848 1991 2172 2534 2896 3696 3801 3982 4344 5068 5973 7602 7964 8688 10136 11946 13937 15204 15928 16787 20272 23892 27874 30408 31856 33574 41811 47784 50361 55748 60816 67148 83622 95568 100722 111496 117509 134296 167244 184657 201444 222992 235018 268592 334488 352527 369314 402888 470036 553971 668976 705054 738628 805776 940072 1107942 1292599 1410108 1477256 1880144 2215884 2585198 2820216 2954512 3038447 3877797 4431768 5170396 5640432 6076894 7755594 8863536 9115341 10340792 12153788 15511188 18230682 20681584 21269129 24307576 31022376 33422917 36461364 42538258 48615152 62044752 63807387 66845834 72922728 85076516 100268751 127614774 133691668 145845456 170153032 200537502 233960419 255229548 267383336 340306064 401075004 467920838 510459096 534766672 701881257 802150008 935841676 1020918192 1403762514 1604300016 1871683352 2807525028 3743366704 5615050056 11230100112