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102212101200222 = 233131327109722143
BaseRepresentation
bin10111001111011000011011…
…111110111101100101011110
3111101220101022001222201201000
4113033120123332331211132
5101344120340401401342
61001215331400331130
730346403103122406
oct2717303376754536
9441811261881630
10102212101200222
112a6279aa510a82
12b569481a73aa6
134505737b04b90
141b351409c5806
15bc3b882d244c
hex5cf61bfbd95e

102212101200222 has 64 divisors (see below), whose sum is σ = 244794492149760. Its totient is φ = 31426177023072.

The previous prime is 102212101200137. The next prime is 102212101200301. The reversal of 102212101200222 is 222002101212201.

It is a happy number.

102212101200222 is a `hidden beast` number, since 1 + 0 + 221 + 21 + 0 + 1 + 200 + 222 = 666.

It is a super-2 number, since 2×1022121012002222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102212101200195 and 102212101200204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53929518 + ... + 55792625.

It is an arithmetic number, because the mean of its divisors is an integer number (3824913939840).

Almost surely, 2102212101200222 is an apocalyptic number.

102212101200222 is an abundant number, since it is smaller than the sum of its proper divisors (142582390949538).

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

102212101200222 is a wasteful number, since it uses less digits than its factorization.

102212101200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109723494 (or 109723488 counting only the distinct ones).

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

Adding to 102212101200222 its reverse (222002101212201), we get a palindrome (324214202412423).

The spelling of 102212101200222 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1327 2654 3981 7962 11943 17251 23886 34502 35829 51753 71658 103506 155259 310518 465777 931554 109722143 219444286 329166429 658332858 987499287 1426387859 1974998574 2852775718 2962497861 4279163577 5924995722 8558327154 12837490731 25674981462 38512472193 77024944386 145601283761 291202567522 436803851283 873607702566 1310411553849 1892816688893 2620823107698 3785633377786 3931234661547 5678450066679 7862469323094 11356900133358 17035350200037 34070700400074 51106050600111 102212101200222