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2042400310300 = 225276147831389
BaseRepresentation
bin11101101110001000100…
…010111000010000011100
321020020210101111210012001
4131232020202320100130
5231430313434412200
64202133222452044
7300362404124050
oct35561042702034
97206711453161
102042400310300
117181a4803549
1228b9b7894024
1311a79c9b088c
1470bd1b5bc60
15381da59c76a
hex1db888b841c

2042400310300 has 72 divisors (see below), whose sum is σ = 5148188168480. Its totient is φ = 688771987200.

The previous prime is 2042400310261. The next prime is 2042400310369. The reversal of 2042400310300 is 30130042402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23872995 + ... + 23958394.

Almost surely, 22042400310300 is an apocalyptic number.

2042400310300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042400310300 is an abundant number, since it is smaller than the sum of its proper divisors (3105787858180).

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

2042400310300 is a wasteful number, since it uses less digits than its factorization.

2042400310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47831471 (or 47831464 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 2042400310300 its reverse (30130042402), we get a palindrome (2072530352702).

The spelling of 2042400310300 in words is "two trillion, forty-two billion, four hundred million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 4270 6100 8540 10675 21350 42700 47831389 95662778 191325556 239156945 334819723 478313890 669639446 956627780 1195784725 1339278892 1674098615 2391569450 2917714729 3348197230 4783138900 5835429458 6696394460 8370493075 11670858916 14588573645 16740986150 20424003103 29177147290 33481972300 40848006206 58354294580 72942868225 81696012412 102120015515 145885736450 204240031030 291771472900 408480062060 510600077575 1021200155150 2042400310300