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103242041232 = 24311229883967
BaseRepresentation
bin110000000100110110…
…1001000011110010000
3100212111010010002201220
41200021231020132100
53142414430304412
6115232335125040
710313301604521
oct1401155103620
9325433102656
10103242041232
113a86a493720
1218013673780
1399743aac35
144dd5870848
152a43b8e68c
hex1809b48790

103242041232 has 160 divisors (see below), whose sum is σ = 292858874880. Its totient is φ = 31081397760.

The previous prime is 103242041197. The next prime is 103242041251. The reversal of 103242041232 is 232140242301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 106764813 + ... + 106765779.

It is an arithmetic number, because the mean of its divisors is an integer number (1830367968).

Almost surely, 2103242041232 is an apocalyptic number.

103242041232 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 103242041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146429437440).

103242041232 is an abundant number, since it is smaller than the sum of its proper divisors (189616833648).

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

103242041232 is a wasteful number, since it uses less digits than its factorization.

103242041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103242041232 its reverse (232140242301), we get a palindrome (335382283533).

The spelling of 103242041232 in words is "one hundred three billion, two hundred forty-two million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 229 264 458 528 687 883 916 967 1374 1766 1832 1934 2519 2649 2748 2901 3532 3664 3868 5038 5298 5496 5802 7064 7557 7736 9713 10076 10596 10637 10992 11604 14128 15114 15472 19426 20152 21192 21274 23208 29139 30228 31911 38852 40304 42384 42548 46416 58278 60456 63822 77704 85096 116556 120912 127644 155408 170192 202207 221443 233112 255288 404414 442886 466224 510576 606621 664329 808828 853861 885772 1213242 1328658 1617656 1707722 1771544 2224277 2426484 2435873 2561583 2657316 3235312 3415444 3543088 4448554 4852968 4871746 5123166 5314632 6672831 6830888 7307619 8897108 9392471 9705936 9743492 10246332 10629264 13345662 13661776 14615238 17794216 18784942 19486984 20492664 26691324 28177413 29230476 35588432 37569884 38973968 40985328 53382648 56354826 58460952 75139768 106765296 112709652 116921904 150279536 195534169 225419304 391068338 450838608 586602507 782136676 1173205014 1564273352 2150875859 2346410028 3128546704 4301751718 4692820056 6452627577 8603503436 9385640112 12905255154 17207006872 25810510308 34414013744 51621020616 103242041232