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102330121120020 = 223253171793377517
BaseRepresentation
bin10111010001000110010110…
…100001001110100100010100
3111102022122221002021211210200
4113101012112201032210110
5101403034042001320040
61001345450401020500
730361051536646263
oct2721062641164424
9442278832254720
10102330121120020
112a672a626a4582
12b58831a624730
1345138c59ca951
141b3ab38d7a5da
15bc6c9450c630
hex5d119684e914

102330121120020 has 72 divisors (see below), whose sum is σ = 311380551695304. Its totient is φ = 27201950162688.

The previous prime is 102330121119991. The next prime is 102330121120027. The reversal of 102330121120020 is 20021121033201.

102330121120020 is a `hidden beast` number, since 1 + 0 + 233 + 0 + 1 + 211 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 350459264016 + 101979661856004 = 591996^2 + 10098498^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102330121119975 and 102330121120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330121120027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896631699 + ... + 896745818.

It is an arithmetic number, because the mean of its divisors is an integer number (4324729884657).

Almost surely, 2102330121120020 is an apocalyptic number.

102330121120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102330121120020 is an abundant number, since it is smaller than the sum of its proper divisors (209050430575284).

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

102330121120020 is a wasteful number, since it uses less digits than its factorization.

102330121120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793377849 (or 1793377844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102330121120020 its reverse (20021121033201), we get a palindrome (122351242153221).

The spelling of 102330121120020 in words is "one hundred two trillion, three hundred thirty billion, one hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 19020 28530 57060 1793377517 3586755034 5380132551 7173510068 8966887585 10760265102 16140397653 17933775170 21520530204 26900662755 32280795306 35867550340 53801325510 64561590612 80701988265 107602651020 161403976530 322807953060 568500672889 1137001345778 1705502018667 2274002691556 2842503364445 3411004037334 5116506056001 5685006728890 6822008074668 8527510093335 10233012112002 11370013457780 17055020186670 20466024224004 25582530280005 34110040373340 51165060560010 102330121120020