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122102101112202 = 23235319216572413
BaseRepresentation
bin11011110000110100011100…
…010111001111010110001010
3121000022211212100212210020200
4123300310130113033112022
5112001010100341042302
61111404533023033030
734501404614626251
oct3360643427172612
9530284770783220
10122102101112202
11359a6234978862
121184025673b776
13531924288a923
142221ab7a39798
15e1b25105481c
hex6f0d1c5cf58a

122102101112202 has 24 divisors (see below), whose sum is σ = 265303998747684. Its totient is φ = 40585400934144.

The previous prime is 122102101112183. The next prime is 122102101112203. The reversal of 122102101112202 is 202211101201221.

122102101112202 is a `hidden beast` number, since 1 + 221 + 0 + 210 + 1 + 11 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110785329262521 + 11316771849681 = 10525461^2 + 3364041^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122102101112203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9608279853 + ... + 9608292560.

Almost surely, 2122102101112202 is an apocalyptic number.

122102101112202 is an abundant number, since it is smaller than the sum of its proper divisors (143201897635482).

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

122102101112202 is a wasteful number, since it uses less digits than its factorization.

122102101112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216572774 (or 19216572771 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102101112202 its reverse (202211101201221), we get a palindrome (324313202313423).

The spelling of 122102101112202 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 353 706 1059 2118 3177 6354 19216572413 38433144826 57649717239 115299434478 172949151717 345898303434 6783450061789 13566900123578 20350350185367 40700700370734 61051050556101 122102101112202