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102123131313120 = 2535714532977573
BaseRepresentation
bin10111001110000101100100…
…111101110001101111100000
3111101120212122121110011211020
4113032011210331301233200
5101341141133104004440
61001110415135045440
730340103252425431
oct2716054475615740
9441525577404736
10102123131313120
112a5a31a4310a65
12b554192070880
1344ca229534278
141b30b00833488
15bc16cc5d43d0
hex5ce164f71be0

102123131313120 has 96 divisors (see below), whose sum is σ = 321692473765152. Its totient is φ = 27232444741632.

The previous prime is 102123131313067. The next prime is 102123131313179. The reversal of 102123131313120 is 21313131321201.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 32808654 + ... + 35786226.

It is an arithmetic number, because the mean of its divisors is an integer number (3350963268387).

Almost surely, 2102123131313120 is an apocalyptic number.

102123131313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123131313120 is an abundant number, since it is smaller than the sum of its proper divisors (219569342452032).

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

102123131313120 is a wasteful number, since it uses less digits than its factorization.

102123131313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049044 (or 3049036 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102123131313120 its reverse (21313131321201), we get a palindrome (123436262634321).

The spelling of 102123131313120 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 71453 142906 214359 285812 357265 428718 571624 714530 857436 1071795 1143248 1429060 1714872 2143590 2286496 2858120 2977573 3429744 4287180 5716240 5955146 6859488 8574360 8932719 11432480 11910292 14887865 17148720 17865438 23820584 29775730 34297440 35730876 44663595 47641168 59551460 71461752 89327190 95282336 119102920 142923504 178654380 238205840 285847008 357308760 476411680 714617520 1429235040 212756523569 425513047138 638269570707 851026094276 1063782617845 1276539141414 1702052188552 2127565235690 2553078282828 3191347853535 3404104377104 4255130471380 5106156565656 6382695707070 6808208754208 8510260942760 10212313131312 12765391414140 17020521885520 20424626262624 25530782828280 34041043771040 51061565656560 102123131313120