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2102321000 = 235313161717
BaseRepresentation
bin111110101001110…
…1101111101101000
312102111212222020202
41331103231331220
513301143233000
6544340011332
7103045301513
oct17523557550
95374788222
102102321000
1198978397a
124a8090b48
13276721430
1415d2d1d7a
15c4874dd5
hex7d4edf68

2102321000 has 64 divisors (see below), whose sum is σ = 5297881680. Its totient is φ = 776236800.

The previous prime is 2102320991. The next prime is 2102321051. The reversal of 2102321000 is 1232012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41705764 + 2060615236 = 6458^2 + 45394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67859 + ... + 93858.

Almost surely, 22102321000 is an apocalyptic number.

2102321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102321000 is an abundant number, since it is smaller than the sum of its proper divisors (3195560680).

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

2102321000 is a wasteful number, since it uses less digits than its factorization.

2102321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161751 (or 161737 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2102321000 is about 45851.0741422706. The cubic root of 2102321000 is about 1281.0507729095.

Adding to 2102321000 its reverse (1232012), we get a palindrome (2103553012).

The spelling of 2102321000 in words is "two billion, one hundred two million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 161717 323434 646868 808585 1293736 1617170 2102321 3234340 4042925 4204642 6468680 8085850 8409284 10511605 16171700 16818568 20214625 21023210 32343400 40429250 42046420 52558025 80858500 84092840 105116050 161717000 210232100 262790125 420464200 525580250 1051160500 2102321000