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102022133121 = 3343349251789
BaseRepresentation
bin101111100000011111…
…1100011010110000001
3100202100002122100102000
41133000333203112001
53132420131224441
6114511320214213
710241126552226
oct1370077432601
9322302570360
10102022133121
113a2a391a6a7
121793300a369
13980b73610c
144d1b83b94d
1529c1a202b6
hex17c0fe3581

102022133121 has 32 divisors (see below), whose sum is σ = 155102640000. Its totient is φ = 66242401344.

The previous prime is 102022133119. The next prime is 102022133131. The reversal of 102022133121 is 121331220201.

It is not a de Polignac number, because 102022133121 - 21 = 102022133119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022133094 and 102022133103.

It is not an unprimeable number, because it can be changed into a prime (102022133131) 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 31 ways as a sum of consecutive naturals, for example, 279295 + ... + 531083.

It is an arithmetic number, because the mean of its divisors is an integer number (4846957500).

Almost surely, 2102022133121 is an apocalyptic number.

It is an amenable number.

102022133121 is a deficient number, since it is larger than the sum of its proper divisors (53080506879).

102022133121 is a wasteful number, since it uses less digits than its factorization.

102022133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252190 (or 252184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102022133121 its reverse (121331220201), we get a palindrome (223353353322).

The spelling of 102022133121 in words is "one hundred two billion, twenty-two million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 27 43 129 349 387 1047 1161 3141 9423 15007 45021 135063 251789 405189 755367 2266101 6798303 10826927 32480781 87874361 97442343 263623083 292327029 790869249 2372607747 3778597523 11335792569 34007377707 102022133121