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102330122033100 = 223521356346604783
BaseRepresentation
bin10111010001000110010110…
…100100101101011111001100
3111102022122221011000020022110
4113101012112210231133030
5101403034042220024400
61001345450432344020
730361051550501313
oct2721062644553714
9442278834006273
10102330122033100
112a672a63168595
12b58831a9a5010
1345138c5c5a430
141b3ab3913727a
15bc6c9463ce50
hex5d119692d7cc

102330122033100 has 144 divisors (see below), whose sum is σ = 319416513034752. Its totient is φ = 25144211984640.

The previous prime is 102330122033017. The next prime is 102330122033107. The reversal of 102330122033100 is 1330221033201.

102330122033100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1023301220331002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102330122033107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21106692 + ... + 25498091.

It is an arithmetic number, because the mean of its divisors is an integer number (2218170229408).

Almost surely, 2102330122033100 is an apocalyptic number.

102330122033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102330122033100 is an abundant number, since it is smaller than the sum of its proper divisors (217086391001652).

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

102330122033100 is a wasteful number, since it uses less digits than its factorization.

102330122033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46605376 (or 46605369 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102330122033100 its reverse (1330221033201), we get a palindrome (103660343066301).

The spelling of 102330122033100 in words is "one hundred two trillion, three hundred thirty billion, one hundred twenty-two million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 563 650 780 975 1126 1300 1689 1950 2252 2815 3378 3900 5630 6756 7319 8445 11260 14075 14638 16890 21957 28150 29276 33780 36595 42225 43914 56300 73190 84450 87828 109785 146380 168900 182975 219570 365950 439140 548925 731900 1097850 2195700 46604783 93209566 139814349 186419132 233023915 279628698 466047830 559257396 605862179 699071745 932095660 1165119575 1211724358 1398143490 1817586537 2330239150 2423448716 2796286980 3029310895 3495358725 3635173074 4660478300 6058621790 6990717450 7270346148 9087932685 12117243580 13981434900 15146554475 18175865370 26238492829 30293108950 36351730740 45439663425 52476985658 60586217900 78715478487 90879326850 104953971316 131192464145 157430956974 181758653700 262384928290 314861913948 341100406777 393577392435 524769856580 655962320725 682200813554 787154784870 1023301220331 1311924641450 1364401627108 1574309569740 1705502033885 1967886962175 2046602440662 2623849282900 3411004067770 3935773924350 4093204881324 5116506101655 6822008135540 7871547848700 8527510169425 10233012203310 17055020338850 20466024406620 25582530508275 34110040677700 51165061016550 102330122033100