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103444130088 = 233213131843643
BaseRepresentation
bin110000001010111000…
…0000010100100101000
3100220000012101021112100
41200111300002210220
53143323144130323
6115304354413400
710321304412045
oct1402560024450
9326005337470
10103444130088
113a963573002
121806b291260
1399a7216c40
1450146381cc
152a567ac943
hex1815c02928

103444130088 has 96 divisors (see below), whose sum is σ = 304015551840. Its totient is φ = 31585956480.

The previous prime is 103444130087. The next prime is 103444130189. The reversal of 103444130088 is 880031444301.

103444130088 is a `hidden beast` number, since 1 + 0 + 3 + 444 + 130 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103444130087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299206 + ... + 544437.

It is an arithmetic number, because the mean of its divisors is an integer number (3166828665).

Almost surely, 2103444130088 is an apocalyptic number.

103444130088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103444130088 is an abundant number, since it is smaller than the sum of its proper divisors (200571421752).

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

103444130088 is a wasteful number, since it uses less digits than its factorization.

103444130088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843799 (or 843792 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 103444130088 its reverse (880031444301), we get a palindrome (983475574389).

The spelling of 103444130088 in words is "one hundred three billion, four hundred forty-four million, one hundred thirty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 131 156 234 262 312 393 468 524 786 936 1048 1179 1572 1703 2358 3144 3406 4716 5109 6812 9432 10218 13624 15327 20436 30654 40872 61308 122616 843643 1687286 2530929 3374572 5061858 6749144 7592787 10123716 10967359 15185574 20247432 21934718 30371148 32902077 43869436 60742296 65804154 87738872 98706231 110517233 131608308 197412462 221034466 263216616 331551699 394824924 442068932 663103398 789649848 884137864 994655097 1326206796 1436724029 1989310194 2652413592 2873448058 3978620388 4310172087 5746896116 7957240776 8620344174 11493792232 12930516261 17240688348 25861032522 34481376696 51722065044 103444130088