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20232133123202 = 2711213990192791
BaseRepresentation
bin1001001100110101010010…
…00110111001110010000010
32122122011200010212222110022
410212122221012321302002
510122440402034420302
6111010302540333442
74155503056015550
oct446325106716202
978564603788408
1020232133123202
1164a0443774300
122329158544282
13b39b608b2580
144dd351bb6bd0
1525143e3408a2
hex1266a91b9c82

20232133123202 has 96 divisors (see below), whose sum is σ = 41060513448192. Its totient is φ = 7275478320000.

The previous prime is 20232133123187. The next prime is 20232133123243.

20232133123202 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217993427 + ... + 218086217.

It is an arithmetic number, because the mean of its divisors is an integer number (427713681752).

Almost surely, 220232133123202 is an apocalyptic number.

20232133123202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20232133123202 is an abundant number, since it is smaller than the sum of its proper divisors (20828380324990).

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

20232133123202 is a wasteful number, since it uses less digits than its factorization.

20232133123202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102736 (or 102725 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2023213 and 3123202, that added together give a palindrome (5146415).

The spelling of 20232133123202 in words is "twenty trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 9901 11011 19802 22022 69307 92791 108911 128713 138614 185582 217822 257426 649537 762377 900991 1020701 1198021 1206283 1299074 1415843 1524754 1801982 2041402 2396042 2412566 2831686 7144907 8386147 8443981 9910901 11227711 13269113 14289814 15574273 16772294 16887962 19821802 22455422 26538226 31148546 78593977 92883791 109019911 145960243 157187954 185767582 218039822 291920486 918723691 1021721701 1837447382 2043443402 6431065837 10105960601 11943407983 12862131674 20211921202 23886815966 70741724207 83603855881 111165566611 131377487813 141483448414 167207711762 222331133222 262754975626 778158966277 919642414691 1445152365943 1556317932554 1839284829382 2890304731886 10116066561601 20232133123202