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110552000412 = 22378982717881
BaseRepresentation
bin110011011110101101…
…0011010011110011100
3101120100120002111120210
41212331122122132130
53302402303003122
6122441545012420
710662403333050
oct1467532323634
9346316074523
10110552000412
11429807a41a7
1219513784110
13a56a98aa79
1454ca633c60
152d207d340c
hex19bd69a79c

110552000412 has 96 divisors (see below), whose sum is σ = 298494927360. Its totient is φ = 31191874560.

The previous prime is 110552000389. The next prime is 110552000561. The reversal of 110552000412 is 214000255011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 6173712 + ... + 6191592.

It is an arithmetic number, because the mean of its divisors is an integer number (3109322160).

Almost surely, 2110552000412 is an apocalyptic number.

110552000412 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 110552000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149247463680).

110552000412 is an abundant number, since it is smaller than the sum of its proper divisors (187942926948).

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

110552000412 is a wasteful number, since it uses less digits than its factorization.

110552000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18811 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 110552000412 its reverse (214000255011), we get a palindrome (324552255423).

The spelling of 110552000412 in words is "one hundred ten billion, five hundred fifty-two million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 827 1068 1246 1654 1869 2481 2492 3308 3738 4962 5789 7476 9924 11578 17367 17881 23156 34734 35762 53643 69468 71524 73603 107286 125167 147206 214572 220809 250334 294412 375501 441618 500668 515221 751002 883236 1030442 1502004 1545663 1591409 2060884 3091326 3182818 4774227 6182652 6365636 9548454 11139863 14787587 19096908 22279726 29575174 33419589 44362761 44559452 59150348 66839178 88725522 103513109 133678356 177451044 207026218 310539327 414052436 621078654 1242157308 1316095243 2632190486 3948285729 5264380972 7896571458 9212666701 15793142916 18425333402 27638000103 36850666804 55276000206 110552000412