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103135023024 = 24311474155989
BaseRepresentation
bin110000000001101010…
…0111000111110110000
3100212012122202000100120
41200003110320332300
53142210031214044
6115213553250240
710310532142215
oct1400324707660
9325178660316
10103135023024
113a815039320
1217ba3863980
13995817ab57
144dc5573b0c
152a395a0519
hex1803538fb0

103135023024 has 80 divisors (see below), whose sum is σ = 296837429760. Its totient is φ = 30588071680.

The previous prime is 103135023023. The next prime is 103135023053. The reversal of 103135023024 is 420320531301.

It is a super-2 number, since 2×1031350230242 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103135022985 and 103135023003.

It is not an unprimeable number, because it can be changed into a prime (103135023023) 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, 2053179 + ... + 2102810.

It is an arithmetic number, because the mean of its divisors is an integer number (3710467872).

Almost surely, 2103135023024 is an apocalyptic number.

It is an amenable number.

103135023024 is an abundant number, since it is smaller than the sum of its proper divisors (193702406736).

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

103135023024 is a wasteful number, since it uses less digits than its factorization.

103135023024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156058 (or 4156052 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 103135023024 its reverse (420320531301), we get a palindrome (523455554325).

The spelling of 103135023024 in words is "one hundred three billion, one hundred thirty-five million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 6204 8272 12408 24816 4155989 8311978 12467967 16623956 24935934 33247912 45715879 49871868 66495824 91431758 99743736 137147637 182863516 195331483 199487472 274295274 365727032 390662966 548590548 585994449 731454064 781325932 1097181096 1171988898 1562651864 2148646313 2194362192 2343977796 3125303728 4297292626 4687955592 6445938939 8594585252 9375911184 12891877878 17189170504 25783755756 34378341008 51567511512 103135023024