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112061000112 = 243171301105557
BaseRepresentation
bin110100001011101011…
…0110010100110110000
3101201020201112122000120
41220113112302212300
53314000104000422
6123251412050240
711044655533065
oct1502726624660
9351221478016
10112061000112
1143585570a96
1219875003980
13a74b4b14b9
1455d0bdac6c
152dad00945c
hex1a175b29b0

112061000112 has 80 divisors (see below), whose sum is σ = 306758303712. Its totient is φ = 35129036800.

The previous prime is 112061000111. The next prime is 112061000113. The reversal of 112061000112 is 211000160211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112061000111) and next prime (112061000113).

It is a super-2 number, since 2×1120610001122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112061000091 and 112061000100.

It is not an unprimeable number, because it can be changed into a prime (112061000111) 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, 1008838 + ... + 1114394.

Almost surely, 2112061000112 is an apocalyptic number.

112061000112 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 112061000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153379151856).

112061000112 is an abundant number, since it is smaller than the sum of its proper divisors (194697303600).

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

112061000112 is a wasteful number, since it uses less digits than its factorization.

112061000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106886 (or 106880 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 112061000112 its reverse (211000160211), we get a palindrome (323061160323).

The spelling of 112061000112 in words is "one hundred twelve billion, sixty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1301 2602 3903 5204 7806 10408 15612 20816 22117 31224 44234 62448 66351 88468 105557 132702 176936 211114 265404 316671 353872 422228 530808 633342 844456 1061616 1266684 1688912 1794469 2533368 3588938 5066736 5383407 7177876 10766814 14355752 21533628 28711504 43067256 86134512 137329657 274659314 411988971 549318628 823977942 1098637256 1647955884 2197274512 2334604169 3295911768 4669208338 6591823536 7003812507 9338416676 14007625014 18676833352 28015250028 37353666704 56030500056 112061000112