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10120212122022 = 233764324520651
BaseRepresentation
bin1001001101000100101110…
…1001100000100110100110
31022211111000222112210001000
42103101023221200212212
52311302143300401042
633305054500014130
72063106201462252
oct223211351404646
938744028483030
1010120212122022
113251a59a005a2
121175446691346
13585441282582
1426db6c6d1262
151283b384974c
hex9344ba609a6

10120212122022 has 32 divisors (see below), whose sum is σ = 22492303666560. Its totient is φ = 3372962531400.

The previous prime is 10120212122011. The next prime is 10120212122023. The reversal of 10120212122022 is 22022121202101.

It is a happy number.

10120212122022 is a `hidden beast` number, since 101 + 202 + 121 + 220 + 22 = 666.

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 = 10120212121986 and 10120212122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120212122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11847604 + ... + 12673047.

It is an arithmetic number, because the mean of its divisors is an integer number (702884489580).

Almost surely, 210120212122022 is an apocalyptic number.

10120212122022 is an abundant number, since it is smaller than the sum of its proper divisors (12372091544538).

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

10120212122022 is a wasteful number, since it uses less digits than its factorization.

10120212122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24528305 (or 24528299 counting only the distinct ones).

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

Adding to 10120212122022 its reverse (22022121202101), we get a palindrome (32142333324123).

The spelling of 10120212122022 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 7643 15286 22929 45858 68787 137574 206361 412722 24520651 49041302 73561953 147123906 220685859 441371718 662057577 1324115154 187411335593 374822671186 562234006779 1124468013558 1686702020337 3373404040674 5060106061011 10120212122022