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123210001032320 = 2751011906095313
BaseRepresentation
bin11100000000111100010000…
…010110000010010010000000
3121011020202112211001002002102
4130000330100112002102000
5112122133040231013240
61114013520523205532
734644425453600006
oct3400742026022200
9534222484032072
10123210001032320
1136293082560754
121199ab100768a8
135399865238037
14225d578398a76
15e39e95332815
hex700f10582480

123210001032320 has 64 divisors (see below), whose sum is σ = 297465234702840. Its totient is φ = 48796039987200.

The previous prime is 123210001032281. The next prime is 123210001032361. The reversal of 123210001032320 is 23230100012321.

It can be written as a sum of positive squares in 4 ways, for example, as 112078809745984 + 11131191286336 = 10586728^2 + 3336344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123210001032292 and 123210001032301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952983017 + ... + 953112296.

Almost surely, 2123210001032320 is an apocalyptic number.

123210001032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123210001032320 is an abundant number, since it is smaller than the sum of its proper divisors (174255233670520).

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

123210001032320 is a wasteful number, since it uses less digits than its factorization.

123210001032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906095433 (or 1906095421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123210001032320 its reverse (23230100012321), we get a palindrome (146440101044641).

The spelling of 123210001032320 in words is "one hundred twenty-three trillion, two hundred ten billion, one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 32320 64640 1906095313 3812190626 7624381252 9530476565 15248762504 19060953130 30497525008 38121906260 60995050016 76243812520 121990100032 152487625040 192515626613 243980200064 304975250080 385031253226 609950500160 770062506452 962578133065 1219901000320 1540125012904 1925156266130 3080250025808 3850312532260 6160500051616 7700625064520 12321000103232 15401250129040 24642000206464 30802500258080 61605000516160 123210001032320