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213321110000 = 2454173123307
BaseRepresentation
bin1100011010101011101…
…1011101000111110000
3202101121201022012001212
43012222323131013300
511443340201010000
6241555351415252
721261203342255
oct3065273350760
9671551265055
10213321110000
1182518229319
1235414984528
13171680a039b
14a47935742c
155837ba4c35
hex31aaedd1f0

213321110000 has 100 divisors (see below), whose sum is σ = 519461337912. Its totient is φ = 84834528000.

The previous prime is 213321109993. The next prime is 213321110053. The reversal of 213321110000 is 11123312.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1668347 + ... + 1791653.

Almost surely, 2213321110000 is an apocalyptic number.

213321110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213321110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259730668956).

213321110000 is an abundant number, since it is smaller than the sum of its proper divisors (306140227912).

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

213321110000 is a wasteful number, since it uses less digits than its factorization.

213321110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123508 (or 123487 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213321110000 its reverse (11123312), we get a palindrome (213332233312).

The spelling of 213321110000 in words is "two hundred thirteen billion, three hundred twenty-one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 625 692 865 1000 1250 1384 1730 2000 2500 2768 3460 4325 5000 6920 8650 10000 13840 17300 21625 34600 43250 69200 86500 108125 123307 173000 216250 246614 346000 432500 493228 616535 865000 986456 1233070 1730000 1972912 2466140 3082675 4932280 6165350 9864560 12330700 15413375 21332111 24661400 30826750 42664222 49322800 61653500 77066875 85328444 106660555 123307000 154133750 170656888 213321110 246614000 308267500 341313776 426642220 533302775 616535000 853284440 1066605550 1233070000 1706568880 2133211100 2666513875 4266422200 5333027750 8532844400 10666055500 13332569375 21332111000 26665138750 42664222000 53330277500 106660555000 213321110000