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112030101312 = 2633726875869
BaseRepresentation
bin110100001010110000…
…0111010111101000000
3101201011120101210211120
41220111200322331000
53313414201220222
6123244345512240
711044132102113
oct1502540727500
9351146353746
10112030101312
114356a087298
12198667a2680
13a744c8339c
1455caa7657a
152daa45415c
hex1a1583af40

112030101312 has 112 divisors (see below), whose sum is σ = 304589322240. Its totient is φ = 36314376192.

The previous prime is 112030101311. The next prime is 112030101353. The reversal of 112030101312 is 213101030211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112030101291 and 112030101300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112030101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19085514 + ... + 19091382.

It is an arithmetic number, because the mean of its divisors is an integer number (2719547520).

Almost surely, 2112030101312 is an apocalyptic number.

112030101312 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 112030101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152294661120).

112030101312 is an abundant number, since it is smaller than the sum of its proper divisors (192559220928).

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

112030101312 is a wasteful number, since it uses less digits than its factorization.

112030101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112030101312 its reverse (213101030211), we get a palindrome (325131131523).

The spelling of 112030101312 in words is "one hundred twelve billion, thirty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 2687 3552 5374 5869 7104 8061 10748 11738 16122 17607 21496 23476 32244 35214 42992 46952 64488 70428 85984 93904 99419 128976 140856 171968 187808 198838 217153 257952 281712 298257 375616 397676 434306 515904 563424 596514 651459 795352 868612 1126848 1193028 1302918 1590704 1737224 2386056 2605836 3181408 3474448 4772112 5211672 6362816 6948896 9544224 10423344 13897792 15770003 19088448 20846688 31540006 41693376 47310009 63080012 94620018 126160024 189240036 252320048 378480072 504640096 583490111 756960144 1009280192 1166980222 1513920288 1750470333 2333960444 3027840576 3500940666 4667920888 7001881332 9335841776 14003762664 18671683552 28007525328 37343367104 56015050656 112030101312