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10102210122 = 2337616471153
BaseRepresentation
bin10010110100010001…
…10111111001001010
3222002001002110001110
421122020313321022
5131142131210442
64350233231150
7505225240434
oct113210677112
928061073043
1010102210122
114314485a94
121b5b2624b6
13c4cc25c34
146bb96b654
153e1d4c69c
hex25a237e4a

10102210122 has 64 divisors (see below), whose sum is σ = 21141575424. Its totient is φ = 3214909440.

The previous prime is 10102210091. The next prime is 10102210147. The reversal of 10102210122 is 22101220101.

10102210122 is digitally balanced in base 2, 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 = 10102210098 and 10102210107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8761098 + ... + 8762250.

It is an arithmetic number, because the mean of its divisors is an integer number (330337116).

Almost surely, 210102210122 is an apocalyptic number.

10102210122 is an abundant number, since it is smaller than the sum of its proper divisors (11039365302).

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

10102210122 is a wasteful number, since it uses less digits than its factorization.

10102210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102210122 its reverse (22101220101), we get a palindrome (32203430223).

The spelling of 10102210122 in words is "ten billion, one hundred two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 61 74 111 122 183 222 366 647 1153 1294 1941 2257 2306 3459 3882 4514 6771 6918 13542 23939 39467 42661 47878 70333 71817 78934 85322 118401 127983 140666 143634 210999 236802 255966 421998 745991 1460279 1491982 2237973 2602321 2920558 4380837 4475946 5204642 7806963 8761674 15613926 27601667 45505451 55203334 82805001 91010902 136516353 165610002 273032706 1683701687 3367403374 5051105061 10102210122