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23210010013200 = 2435241471748171
BaseRepresentation
bin1010100011100000000000…
…11001101110111000010000
310001011212002111121211020220
411101300000121232320100
511020233100030410300
6121210310441033040
74613603453650653
oct521600031567020
9101155074554226
1023210010013200
117439345628a9a
12272a309485780
13cc4904c17b2a
145a352884389a
152a3b2b738da0
hex151c0066ee10

23210010013200 has 120 divisors (see below), whose sum is σ = 76162798873056. Its totient is φ = 6038376576000.

The previous prime is 23210010013181. The next prime is 23210010013217. The reversal of 23210010013200 is 231001001232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23210010013200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235824886 + ... + 235923285.

Almost surely, 223210010013200 is an apocalyptic number.

23210010013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210010013200 is an abundant number, since it is smaller than the sum of its proper divisors (52952788859856).

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

23210010013200 is a wasteful number, since it uses less digits than its factorization.

23210010013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471748233 (or 471748222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23210010013200 its reverse (231001001232), we get a palindrome (23441011014432).

The spelling of 23210010013200 in words is "twenty-three trillion, two hundred ten billion, ten million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 471748171 943496342 1415244513 1886992684 2358740855 2830489026 3773985368 4717481710 5660978052 7076222565 7547970736 9434963420 11321956104 11793704275 14152445130 18869926840 19341675011 22643912208 23587408550 28304890260 35381112825 37739853680 38683350022 47174817100 56609780520 58025025033 70762225650 77366700044 94349634200 96708375055 113219561040 116050050066 141524451300 154733400088 188699268400 193416750110 232100100132 283048902600 290125125165 309466800176 386833500220 464200200264 483541875275 566097805200 580250250330 773667000440 928400400528 967083750550 1160500500660 1450625625825 1547334000880 1934167501100 2321001001320 2901251251650 3868335002200 4642002002640 5802502503300 7736670004400 11605005006600 23210010013200