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4100115012 = 2237178932261
BaseRepresentation
bin1111010001100010…
…1100101001000100
3101120202002102102120
43310120230221010
531344112140022
61514503405540
7203414255040
oct36430545104
911522072376
104100115012
111814454104
129651538b0
135045a5676
142ac775020
1518ee4dd5c
hexf462ca44

4100115012 has 96 divisors (see below), whose sum is σ = 11707234560. Its totient is φ = 1090129920.

The previous prime is 4100115011. The next prime is 4100115023. The reversal of 4100115012 is 2105110014.

It is a happy number.

It is a super-2 number, since 2×41001150122 = 33621886223255520288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100114982 and 4100115000.

It is not an unprimeable number, because it can be changed into a prime (4100115011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110962 + ... + 143222.

It is an arithmetic number, because the mean of its divisors is an integer number (121950360).

Almost surely, 24100115012 is an apocalyptic number.

4100115012 is a gapful number since it is divisible by the number (42) 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 4100115012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853617280).

4100115012 is an abundant number, since it is smaller than the sum of its proper divisors (7607119548).

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

4100115012 is a wasteful number, since it uses less digits than its factorization.

4100115012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32381 (or 32379 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 4100115012 is about 64032.1404608654. The cubic root of 4100115012 is about 1600.5356295223.

Adding to 4100115012 its reverse (2105110014), we get a palindrome (6205225026).

The spelling of 4100115012 in words is "four billion, one hundred million, one hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 89 102 119 178 204 238 267 356 357 476 534 623 714 1068 1246 1428 1513 1869 2492 3026 3738 4539 6052 7476 9078 10591 18156 21182 31773 32261 42364 63546 64522 96783 127092 129044 193566 225827 387132 451654 548437 677481 903308 1096874 1354962 1645311 2193748 2709924 2871229 3290622 3839059 5742458 6581244 7678118 8613687 11484916 11517177 15356236 17227374 20098603 23034354 34454748 40197206 46068708 48810893 60295809 80394412 97621786 120591618 146432679 195243572 241183236 292865358 341676251 585730716 683352502 1025028753 1366705004 2050057506 4100115012