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102020223133023 = 31322695657132233
BaseRepresentation
bin10111001100100101101111…
…001010001110010101011111
3111101020001000202112222110120
4113030211233022032111133
5101332444404110224043
61000551235443410023
730326501143346646
oct2714455712162537
9441201022488416
10102020223133023
112a56359632a138
12b538252383913
1344c060937b700
141b29b3b46c35d
15bbdba7de1983
hex5cc96f28e55f

102020223133023 has 48 divisors (see below), whose sum is σ = 147870289666080. Its totient is φ = 62536756918272.

The previous prime is 102020223133019. The next prime is 102020223133061. The reversal of 102020223133023 is 320331322020201.

It is not a de Polignac number, because 102020223133023 - 22 = 102020223133019 is a prime.

It is a super-2 number, since 2×1020202231330232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102020223132984 and 102020223133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020223133723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771452515 + ... + 771584747.

It is an arithmetic number, because the mean of its divisors is an integer number (3080631034710).

Almost surely, 2102020223133023 is an apocalyptic number.

102020223133023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102020223133023 is a deficient number, since it is larger than the sum of its proper divisors (45850066533057).

102020223133023 is a wasteful number, since it uses less digits than its factorization.

102020223133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138188 (or 138175 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102020223133023 its reverse (320331322020201), we get a palindrome (422351545153224).

The spelling of 102020223133023 in words is "one hundred two trillion, twenty billion, two hundred twenty-three million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 13 39 169 269 507 807 3497 5657 10491 16971 45461 73541 132233 136383 220623 396699 956033 1521733 1719029 2868099 4565199 5157087 19782529 22347377 35570677 59347587 67042131 106712031 257172877 462418801 748042081 771518631 1387256403 2244126243 6011444413 9724547053 18034333239 29173641159 126419111689 201223319789 379257335067 603669959367 2615903157257 7847709471771 34006741044341 102020223133023