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10202012161 = 116115799629
BaseRepresentation
bin10011000000001011…
…00101101000000001
3222022222212220201021
421200011211220001
5131343203342121
64404200305441
7510546446455
oct114005455001
928288786637
1010202012161
114365851810
121b88772281
13c677ca5b3
146cad0a665
153ea9b3641
hex260165a01

10202012161 has 16 divisors (see below), whose sum is σ = 11320257600. Its totient is φ = 9115790400.

The previous prime is 10202012141. The next prime is 10202012173. The reversal of 10202012161 is 16121020201.

It is a cyclic number.

It is not a de Polignac number, because 10202012161 - 25 = 10202012129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054695 + ... + 1064323.

It is an arithmetic number, because the mean of its divisors is an integer number (707516100).

Almost surely, 210202012161 is an apocalyptic number.

10202012161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202012161 is a deficient number, since it is larger than the sum of its proper divisors (1118245439).

10202012161 is a wasteful number, since it uses less digits than its factorization.

10202012161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10202012161 its reverse (16121020201), we get a palindrome (26323032362).

The spelling of 10202012161 in words is "ten billion, two hundred two million, twelve thousand, one hundred sixty-one".

Divisors: 1 11 61 671 1579 9629 17369 96319 105919 587369 1059509 6461059 15204191 167246101 927455651 10202012161