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10102202012 = 227336720063
BaseRepresentation
bin10010110100010001…
…10101111010011100
3222002001002000221002
421122020311322130
5131142130431022
64350233125432
7505225205000
oct113210657234
928061060832
1010102202012
11431447a991
121b5b259878
13c4cc22336
146bb968700
153e1d4a092
hex25a235e9c

10102202012 has 48 divisors (see below), whose sum is σ = 20673945600. Its totient is φ = 4317502896.

The previous prime is 10102201987. The next prime is 10102202029. The reversal of 10102202012 is 21020220101.

It is a happy number.

10102202012 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 = 10102201984 and 10102202002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 493493 + ... + 513555.

It is an arithmetic number, because the mean of its divisors is an integer number (430707200).

Almost surely, 210102202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10336972800).

10102202012 is an abundant number, since it is smaller than the sum of its proper divisors (10571743588).

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

10102202012 is a wasteful number, since it uses less digits than its factorization.

10102202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20455 (or 20439 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10102202012 its reverse (21020220101), we get a palindrome (31122422113).

It can be divided in two parts, 1010 and 2202012, that added together give a palindrome (2203022).

The spelling of 10102202012 in words is "ten billion, one hundred two million, two hundred two thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 343 367 686 734 1372 1468 2569 5138 10276 17983 20063 35966 40126 71932 80252 125881 140441 251762 280882 503524 561764 983087 1966174 3932348 6881609 7363121 13763218 14726242 27526436 29452484 51541847 103083694 206167388 360792929 721585858 1443171716 2525550503 5051101006 10102202012