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102124301400 = 233252115157793
BaseRepresentation
bin101111100011100010…
…1010010110001011000
3100202121012220000221100
41133013011102301120
53133122310121100
6114525410111400
710243510145022
oct1370705226130
9322535800840
10102124301400
113a3465621a0
121796127b560
139826958814
144d2b235012
1529ca9a2400
hex17c7152c58

102124301400 has 144 divisors (see below), whose sum is σ = 374146376760. Its totient is φ = 24757401600.

The previous prime is 102124301381. The next prime is 102124301401. The reversal of 102124301400 is 4103421201.

102124301400 is a `hidden beast` number, since 1 + 0 + 21 + 243 + 0 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124301401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2559097 + ... + 2598696.

Almost surely, 2102124301400 is an apocalyptic number.

102124301400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102124301400 is an abundant number, since it is smaller than the sum of its proper divisors (272022075360).

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

102124301400 is a wasteful number, since it uses less digits than its factorization.

102124301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157826 (or 5157814 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102124301400 its reverse (4103421201), we get a palindrome (106227722601).

The spelling of 102124301400 in words is "one hundred two billion, one hundred twenty-four million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 5157793 10315586 15473379 20631172 25788965 30946758 41262344 46420137 51577930 56735723 61893516 77366895 92840274 103155860 113471446 123787032 128944825 154733790 170207169 185680548 206311720 226942892 232100685 257889650 283678615 309467580 340414338 371361096 386834475 453885784 464201370 510621507 515779300 567357230 618935160 680828676 773668950 851035845 928402740 1021243014 1031558600 1134714460 1160503425 1361657352 1418393075 1547337900 1702071690 1856805480 2042486028 2269428920 2321006850 2553107535 2836786150 3094675800 3404143380 4084972056 4255179225 4642013700 5106215070 5673572300 6808286760 8510358450 9284027400 10212430140 11347144600 12765537675 17020716900 20424860280 25531075350 34041433800 51062150700 102124301400