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102122023133221 = 71314874153181721
BaseRepresentation
bin10111001110000100100010…
…111010011010000000100101
3111101120202210101012210210021
4113032010202322122000211
5101341131400410230341
61001110113150555141
730340033635153310
oct2716044272320045
9441522711183707
10102122023133221
112a5a278581a003
12b553b22b08ab1
1344ca0b0a7b310
141b30a375a5977
15bc16651849d1
hex5ce122e9a025

102122023133221 has 32 divisors (see below), whose sum is σ = 125804146019328. Its totient is φ = 80725618068480.

The previous prime is 102122023133167. The next prime is 102122023133231. The reversal of 102122023133221 is 122331320221201.

It is not a de Polignac number, because 102122023133221 - 29 = 102122023132709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122023133231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561880641 + ... + 562062361.

It is an arithmetic number, because the mean of its divisors is an integer number (3931379563104).

Almost surely, 2102122023133221 is an apocalyptic number.

It is an amenable number.

102122023133221 is a deficient number, since it is larger than the sum of its proper divisors (23682122886107).

102122023133221 is a wasteful number, since it uses less digits than its factorization.

102122023133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187381.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 102122023133221 its reverse (122331320221201), we get a palindrome (224453343354422).

The spelling of 102122023133221 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-three million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 7 13 91 1487 4153 10409 19331 29071 53989 135317 181721 377923 1272047 2362373 6175511 16536611 43228577 80281643 270219127 561971501 754687313 1891533889 3512848651 5282811191 9810935069 24589940557 68676545483 1122220034431 7855540241017 14588860447603 102122023133221