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102314133240 = 233511292672783
BaseRepresentation
bin101111101001001100…
…1011100011011111000
3100210002110002111021020
41133102121130123320
53134014404230430
6115000310542440
710251303532434
oct1372231343370
9323073074236
10102314133240
113a43372a710
12179b4967a20
139857092857
144d4852b9c4
1529dc49db10
hex17d265c6f8

102314133240 has 128 divisors (see below), whose sum is σ = 346392806400. Its totient is φ = 23948126720.

The previous prime is 102314133167. The next prime is 102314133287. The reversal of 102314133240 is 42331413201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102314133240.

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, 1298112 + ... + 1374671.

It is an arithmetic number, because the mean of its divisors is an integer number (2706193800).

Almost surely, 2102314133240 is an apocalyptic number.

102314133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102314133240 is an abundant number, since it is smaller than the sum of its proper divisors (244078673160).

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

102314133240 is a wasteful number, since it uses less digits than its factorization.

102314133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672837 (or 2672833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102314133240 its reverse (42331413201), we get a palindrome (144645546441).

The spelling of 102314133240 in words is "one hundred two billion, three hundred fourteen million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 6380 7656 9570 12760 19140 38280 2672783 5345566 8018349 10691132 13363915 16036698 21382264 26727830 29400613 32073396 40091745 53455660 58801226 64146792 77510707 80183490 88201839 106911320 117602452 147003065 155021414 160366980 176403678 232532121 235204904 294006130 310042828 320733960 352807356 387553535 441009195 465064242 588012260 620085656 705614712 775107070 852617777 882018390 930128484 1162660605 1176024520 1550214140 1705235554 1764036780 1860256968 2325321210 2557853331 3100428280 3410471108 3528073560 4263088885 4650642420 5115706662 6820942216 8526177770 9301284840 10231413324 12789266655 17052355540 20462826648 25578533310 34104711080 51157066620 102314133240