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2001232010100 = 2235228123739407
BaseRepresentation
bin11101000111110010101…
…110010001101101110100
321002022112022002110002210
4131013302232101231310
5230242010343310400
64131204151133420
7264404252263161
oct35076256215564
97068468073083
102001232010100
11701799330254
12283a28674270
1311693b88572b
146cc08353068
15370cb23c950
hex1d1f2b91b74

2001232010100 has 72 divisors (see below), whose sum is σ = 5810837332608. Its totient is φ = 531762694400.

The previous prime is 2001232010081. The next prime is 2001232010111. The reversal of 2001232010100 is 10102321002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11785404 + ... + 11954003.

It is an arithmetic number, because the mean of its divisors is an integer number (80706074064).

Almost surely, 22001232010100 is an apocalyptic number.

2001232010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001232010100 is an abundant number, since it is smaller than the sum of its proper divisors (3809605322508).

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

2001232010100 is a wasteful number, since it uses less digits than its factorization.

2001232010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23739705 (or 23739698 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001232010100 its reverse (10102321002), we get a palindrome (2011334331102).

The spelling of 2001232010100 in words is "two trillion, one billion, two hundred thirty-two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 281 300 562 843 1124 1405 1686 2810 3372 4215 5620 7025 8430 14050 16860 21075 28100 42150 84300 23739407 47478814 71218221 94957628 118697035 142436442 237394070 284872884 356091105 474788140 593485175 712182210 1186970350 1424364420 1780455525 2373940700 3560911050 6670773367 7121822100 13341546734 20012320101 26683093468 33353866835 40024640202 66707733670 80049280404 100061600505 133415467340 166769334175 200123201010 333538668350 400246402020 500308002525 667077336700 1000616005050 2001232010100