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10220415231 = 313877929851
BaseRepresentation
bin10011000010010111…
…10010100011111111
3222101021111212222110
421201023302203333
5131412411241411
64410054545103
7511162044645
oct114113624377
928337455873
1010220415231
114375181264
121b92968193
13c6b571ba0
146cd53b195
153ec3eb2a6
hex2612f28ff

10220415231 has 16 divisors (see below), whose sum is σ = 14677631360. Its totient is φ = 6288559200.

The previous prime is 10220415223. The next prime is 10220415301. The reversal of 10220415231 is 13251402201.

It is not a de Polignac number, because 10220415231 - 23 = 10220415223 is a prime.

It is a super-2 number, since 2×102204152312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220415198 and 10220415207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220414231) 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, 327456 + ... + 357306.

It is an arithmetic number, because the mean of its divisors is an integer number (917351960).

Almost surely, 210220415231 is an apocalyptic number.

10220415231 is a deficient number, since it is larger than the sum of its proper divisors (4457216129).

10220415231 is a wasteful number, since it uses less digits than its factorization.

10220415231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38646.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10220415231 its reverse (13251402201), we get a palindrome (23471817432).

The spelling of 10220415231 in words is "ten billion, two hundred twenty million, four hundred fifteen thousand, two hundred thirty-one".

Divisors: 1 3 13 39 8779 26337 29851 89553 114127 342381 388063 1164189 262061929 786185787 3406805077 10220415231