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103111714218680 = 235171312753420457
BaseRepresentation
bin10111011100011110010001…
…000110010010001010111000
3111112002101100122121010001122
4113130132101012102022320
5102003340242314444210
61003144511221404412
730501401254452026
oct2734362106221270
9445071318533048
10103111714218680
112a944483617912
12b6938a8569708
13456c51535a10b
141b668c2835716
15bdc28b86cb55
hex5dc7911922b8

103111714218680 has 128 divisors (see below), whose sum is σ = 247614174434880. Its totient is φ = 38508118671360.

The previous prime is 103111714218677. The next prime is 103111714218761. The reversal of 103111714218680 is 86812417111301.

It is a super-2 number, since 2×1031117142186802 (a number of 29 digits) contains 22 as substring.

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, 245027012 + ... + 245447468.

Almost surely, 2103111714218680 is an apocalyptic number.

103111714218680 is a gapful number since it is divisible by the number (10) 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 103111714218680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123807087217440).

103111714218680 is an abundant number, since it is smaller than the sum of its proper divisors (144502460216200).

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

103111714218680 is a wasteful number, since it uses less digits than its factorization.

103111714218680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423369 (or 423365 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 44.

The spelling of 103111714218680 in words is "one hundred three trillion, one hundred eleven billion, seven hundred fourteen million, two hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 170 262 340 524 655 680 1048 1310 2227 2620 2753 4454 5240 5506 8908 11012 11135 13765 17816 22024 22270 27530 44540 46801 55060 89080 93602 110120 187204 234005 360643 374408 420457 468010 721286 840914 936020 1442572 1681828 1803215 1872040 2102285 2885144 3363656 3606430 4204570 6130931 7147769 7212860 8409140 12261862 14295538 14425720 16818280 24523724 28591076 30654655 35738845 49047448 55079867 57182152 61309310 71477690 110159734 122618620 142955380 220319468 245237240 275399335 285910760 440638936 550798670 936357739 1101597340 1157518121 1872715478 2203194680 2315036242 3745430956 4630072484 4681788695 5787590605 7490861912 9260144968 9363577390 11575181210 18727154780 19677808057 23150362420 37454309560 39355616114 46300724840 78711232228 98389040285 151634873851 157422464456 196778080570 303269747702 393556161140 606539495404 758174369255 787112322280 1213078990808 1516348738510 2577792855467 3032697477020 5155585710934 6065394954040 10311171421868 12888964277335 20622342843736 25777928554670 51555857109340 103111714218680