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122221012100202 = 23244961972440313
BaseRepresentation
bin11011110010100011001100…
…000000101010010001101010
3121000202012210110212212010100
4123302203030000222101222
5112004432113044201302
61111535320254130230
734513114421431461
oct3362431400522152
9530665713785110
10122221012100202
1135a41705043064
121185b3017b0976
1353275132707a2
1422277584a39d8
15e1e3b05e4d1c
hex6f28cc02a46a

122221012100202 has 48 divisors (see below), whose sum is σ = 265444911318600. Its totient is φ = 40643025432576.

The previous prime is 122221012100107. The next prime is 122221012100279. The reversal of 122221012100202 is 202001210122221.

It is a happy number.

122221012100202 is a `hidden beast` number, since 1 + 222 + 210 + 1 + 210 + 0 + 20 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108684565685721 + 13536446414481 = 10425189^2 + 3679191^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48863998 + ... + 51304310.

Almost surely, 2122221012100202 is an apocalyptic number.

122221012100202 is an abundant number, since it is smaller than the sum of its proper divisors (143223899218398).

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

122221012100202 is a wasteful number, since it uses less digits than its factorization.

122221012100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446967 (or 2446964 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122221012100202 its reverse (202001210122221), we get a palindrome (324222222222423).

The spelling of 122221012100202 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 18 449 898 1347 2694 4041 6197 8082 12394 18591 37182 55773 111546 2440313 2782453 4880626 5564906 7320939 8347359 14641878 16694718 21962817 25042077 43925634 50084154 1095700537 2191401074 3287101611 6574203222 9861304833 15122619661 19722609666 30245239322 45367858983 90735717966 136103576949 272207153898 6790056227789 13580112455578 20370168683367 40740337366734 61110506050101 122221012100202