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103092101424 = 243213379314519
BaseRepresentation
bin110000000000011000…
…1001010000100110000
3100212002122222100222200
41200000301022010300
53142113034221144
6115205421303200
710306501255314
oct1400061120460
9325078870880
10103092101424
113a7a2892724
1217b91404b00
13994c300560
144dbd99db44
152a35922c69
hex1800c4a130

103092101424 has 120 divisors (see below), whose sum is σ = 310811460960. Its totient is φ = 31710099456.

The previous prime is 103092101423. The next prime is 103092101477. The reversal of 103092101424 is 424101290301.

It is a happy number.

103092101424 is a `hidden beast` number, since 1 + 0 + 309 + 210 + 142 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (103092101423) 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, 7093237 + ... + 7107755.

It is an arithmetic number, because the mean of its divisors is an integer number (2590095508).

Almost surely, 2103092101424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103092101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155405730480).

103092101424 is an abundant number, since it is smaller than the sum of its proper divisors (207719359536).

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

103092101424 is a wasteful number, since it uses less digits than its factorization.

103092101424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18339 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 103092101424 its reverse (424101290301), we get a palindrome (527193391725).

The spelling of 103092101424 in words is "one hundred three billion, ninety-two million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3793 7586 11379 14519 15172 22758 29038 30344 34137 43557 45516 49309 58076 60688 68274 87114 91032 98618 116152 130671 136548 147927 174228 182064 188747 197236 232304 261342 273096 295854 348456 377494 394472 443781 522684 546192 566241 591708 696912 754988 788944 887562 1045368 1132482 1183416 1509976 1698723 1775124 2090736 2264964 2366832 3019952 3397446 3550248 4529928 6794892 7100496 9059856 13589784 27179568 55070567 110141134 165211701 220282268 330423402 440564536 495635103 660846804 715917371 881129072 991270206 1321693608 1431834742 1982540412 2147752113 2643387216 2863669484 3965080824 4295504226 5727338968 6443256339 7930161648 8591008452 11454677936 12886512678 17182016904 25773025356 34364033808 51546050712 103092101424