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122202311213230 = 251910713145885001
BaseRepresentation
bin11011110010010001110001…
…010110011100000010101110
3121000200102112011212100220221
4123302101301112130002232
5112004130313132310410
61111522544453201554
734511553122502223
oct3362216126340256
9530612464770827
10122202311213230
1135a34788965976
12118577629302ba
135325822a801b1
1422268a294b94a
15e1db689414da
hex6f247159c0ae

122202311213230 has 64 divisors (see below), whose sum is σ = 235489171864320. Its totient is φ = 45525261600000.

The previous prime is 122202311213221. The next prime is 122202311213231. The reversal of 122202311213230 is 32312113202221.

122202311213230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122202311213195 and 122202311213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202311213231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20279271 + ... + 25605730.

It is an arithmetic number, because the mean of its divisors is an integer number (3679518310380).

Almost surely, 2122202311213230 is an apocalyptic number.

122202311213230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122202311213230 is a deficient number, since it is larger than the sum of its proper divisors (113286860651090).

122202311213230 is a wasteful number, since it uses less digits than its factorization.

122202311213230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45885265.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122202311213230 its reverse (32312113202221), we get a palindrome (154514424415451).

The spelling of 122202311213230 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred eleven million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 5 10 19 38 95 107 131 190 214 262 535 655 1070 1310 2033 2489 4066 4978 10165 12445 14017 20330 24890 28034 70085 140170 266323 532646 1331615 2663230 45885001 91770002 229425005 458850010 871815019 1743630038 4359075095 4909695107 6010935131 8718150190 9819390214 12021870262 24548475535 30054675655 49096951070 60109351310 93284207033 114207767489 186568414066 228415534978 466421035165 571038837445 643170059017 932842070330 1142077674890 1286340118034 3215850295085 6431700590170 12220231121323 24440462242646 61101155606615 122202311213230