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10020313121 = 7134110126591
BaseRepresentation
bin10010101010100000…
…11101100000100001
3221212022222122111012
421111100131200201
5131010200004441
64334150030305
7503212153610
oct112520354041
927768878435
1010020313121
114282229615
121b37948395
13c38c80280
146b0b2d877
153d9a719eb
hex25541d821

10020313121 has 32 divisors (see below), whose sum is σ = 12759054336. Its totient is φ = 7657920000.

The previous prime is 10020313103. The next prime is 10020313133. The reversal of 10020313121 is 12131302001.

It is a cyclic number.

It is not a de Polignac number, because 10020313121 - 226 = 9953204257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020313096 and 10020313105.

It is not an unprimeable number, because it can be changed into a prime (10020313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363536 + ... + 390126.

It is an arithmetic number, because the mean of its divisors is an integer number (398720448).

Almost surely, 210020313121 is an apocalyptic number.

It is an amenable number.

10020313121 is a deficient number, since it is larger than the sum of its proper divisors (2738741215).

10020313121 is a wasteful number, since it uses less digits than its factorization.

10020313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26753.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10020313121 its reverse (12131302001), we get a palindrome (22151615122).

The spelling of 10020313121 in words is "ten billion, twenty million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 7 13 41 91 101 287 533 707 1313 3731 4141 9191 26591 28987 53833 186137 345683 376831 1090231 2419781 2685691 7631617 14173003 18799837 34913983 99211021 110113331 244397881 770793317 1431473303 10020313121