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102233000210082 = 2374182531719351
BaseRepresentation
bin10111001111101011111001…
…101010010110111010100010
3111101222101020120011102122020
4113033223321222112322202
5101344441141023210312
61001233105242522310
730351043022562330
oct2717537152267242
9441871216142566
10102233000210082
112a635854456455
12b571534b06396
1345076b881a5c1
141b3616444ab50
15bc44ace3178c
hex5cfaf9a96ea2

102233000210082 has 64 divisors (see below), whose sum is σ = 239378062952448. Its totient is φ = 28496618640000.

The previous prime is 102233000210069. The next prime is 102233000210083. The reversal of 102233000210082 is 280012000332201.

It is a happy number.

It is a super-2 number, since 2×1022330002100822 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102233000210083) 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, 141758707 + ... + 142478057.

It is an arithmetic number, because the mean of its divisors is an integer number (3740282233632).

Almost surely, 2102233000210082 is an apocalyptic number.

102233000210082 is an abundant number, since it is smaller than the sum of its proper divisors (137145062742366).

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

102233000210082 is a wasteful number, since it uses less digits than its factorization.

102233000210082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801935.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102233000210082 its reverse (280012000332201), we get a palindrome (382245000542283).

The spelling of 102233000210082 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred ten thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 82531 165062 247593 495186 577717 719351 1155434 1438702 1733151 2158053 3383771 3466302 4316106 5035457 6767542 10070914 10151313 15106371 20302626 23686397 29493391 30212742 47372794 58986782 71059191 88480173 142118382 176960346 206453737 412907474 619361211 1238722422 59368757381 118737514762 178106272143 356212544286 415581301667 831162603334 1246743905001 2434119052621 2493487810002 4868238105242 7302357157863 14604714315726 17038833368347 34077666736694 51116500105041 102233000210082