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102123151321200 = 24352421920171279
BaseRepresentation
bin10111001110000101100110…
…001010000110100001110000
3111101120212201000002200202020
4113032011212022012201300
5101341141203214234300
61001110421131551440
730340103614460142
oct2716054612064160
9441525630080666
10102123151321200
112a5a3204637369
12b5541988bb580
1344ca23071b279
141b30b03360c92
15bc16ce2378a0
hex5ce166286870

102123151321200 has 120 divisors (see below), whose sum is σ = 327212049350400. Its totient is φ = 27226384193280.

The previous prime is 102123151321181. The next prime is 102123151321259. The reversal of 102123151321200 is 2123151321201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5022840 + ... + 15148439.

It is an arithmetic number, because the mean of its divisors is an integer number (2726767077920).

Almost surely, 2102123151321200 is an apocalyptic number.

102123151321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123151321200 is an abundant number, since it is smaller than the sum of its proper divisors (225088898029200).

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

102123151321200 is a wasteful number, since it uses less digits than its factorization.

102123151321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20175519 (or 20175508 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Subtracting from 102123151321200 its reverse (2123151321201), we obtain a palindrome (99999999999999).

The spelling of 102123151321200 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred fifty-one million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4219 8438 12657 16876 21095 25314 33752 42190 50628 63285 67504 84380 101256 105475 126570 168760 202512 210950 253140 316425 337520 421900 506280 632850 843800 1012560 1265700 1687600 2531400 5062800 20171279 40342558 60513837 80685116 100856395 121027674 161370232 201712790 242055348 302569185 322740464 403425580 484110696 504281975 605138370 806851160 968221392 1008563950 1210276740 1512845925 1613702320 2017127900 2420553480 3025691850 4034255800 4841106960 6051383700 8068511600 12102767400 24205534800 85102626101 170205252202 255307878303 340410504404 425513130505 510615756606 680821008808 851026261010 1021231513212 1276539391515 1361642017616 1702052522020 2042463026424 2127565652525 2553078783030 3404105044040 4084926052848 4255131305050 5106157566060 6382696957575 6808210088080 8510262610100 10212315132120 12765393915150 17020525220200 20424630264240 25530787830300 34041050440400 51061575660600 102123151321200