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10220100103 = 1715728113627
BaseRepresentation
bin10011000010010101…
…00101101000000111
3222101020220212201001
421201022211220013
5131412321200403
64410044114131
7511156263133
oct114112455007
928336825631
1010220100103
114374a86524
121b92835947
13c6b491615
146cd4983c3
153ec387c1d
hex2612a5a07

10220100103 has 16 divisors (see below), whose sum is σ = 10929765024. Its totient is φ = 9522938880.

The previous prime is 10220100091. The next prime is 10220100131. The reversal of 10220100103 is 30100102201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10220100103 is a prime.

It is a super-2 number, since 2×102201001032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220100173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743176 + ... + 756802.

It is an arithmetic number, because the mean of its divisors is an integer number (683110314).

Almost surely, 210220100103 is an apocalyptic number.

10220100103 is a deficient number, since it is larger than the sum of its proper divisors (709664921).

10220100103 is a wasteful number, since it uses less digits than its factorization.

10220100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14082.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10220100103 its reverse (30100102201), we get a palindrome (40320202304).

The spelling of 10220100103 in words is "ten billion, two hundred twenty million, one hundred thousand, one hundred three".

Divisors: 1 17 157 281 2669 4777 13627 44117 231659 749989 2139439 3829187 36370463 65096179 601182359 10220100103