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102121121322 = 232113713939547
BaseRepresentation
bin101111100011011100…
…1001010011000101010
3100202120222220110200200
41133012321022120222
53133121001340242
6114525214013030
710243441131453
oct1370671123052
9322528813620
10102121121322
113a34478aa30
12179601a7176
1398260b420c
144d2aa4812a
1529ca57504c
hex17c6e4a62a

102121121322 has 48 divisors (see below), whose sum is σ = 247900921632. Its totient is φ = 30109419360.

The previous prime is 102121121299. The next prime is 102121121329. The reversal of 102121121322 is 223121121201.

102121121322 is a `hidden beast` number, since 10 + 212 + 1 + 121 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102121121295 and 102121121304.

It is not an unprimeable number, because it can be changed into a prime (102121121329) 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 23 ways as a sum of consecutive naturals, for example, 6962448 + ... + 6977099.

It is an arithmetic number, because the mean of its divisors is an integer number (5164602534).

Almost surely, 2102121121322 is an apocalyptic number.

102121121322 is an abundant number, since it is smaller than the sum of its proper divisors (145779800310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121121322 is a wasteful number, since it uses less digits than its factorization.

102121121322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939603 (or 13939600 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102121121322 its reverse (223121121201), we get a palindrome (325242242523).

The spelling of 102121121322 in words is "one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 13939547 27879094 41818641 83637282 125455923 153335017 250911846 306670034 460005051 515763239 920010102 1031526478 1380015153 1547289717 2760030306 3094579434 4641869151 5673395629 9283738302 11346791258 17020186887 34040373774 51060560661 102121121322