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212323313100 = 223524715058391
BaseRepresentation
bin1100010110111101110…
…1001010010111001100
3202022001011202212001010
43011233131022113030
511434314232004400
6241312345245220
721224366245353
oct3055735122714
9668034685033
10212323313100
1182055a7a788
1235196793810
1317039454c12
14a3c2a2099a
1557ca2ab450
hex316f74a5cc

212323313100 has 72 divisors (see below), whose sum is σ = 627392844288. Its totient is φ = 55414875200.

The previous prime is 212323313093. The next prime is 212323313107. The reversal of 212323313100 is 1313323212.

It is an interprime number because it is at equal distance from previous prime (212323313093) and next prime (212323313107).

It is a super-2 number, since 2×2123233131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212323313107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7515096 + ... + 7543295.

It is an arithmetic number, because the mean of its divisors is an integer number (8713789504).

Almost surely, 2212323313100 is an apocalyptic number.

212323313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212323313100 is an abundant number, since it is smaller than the sum of its proper divisors (415069531188).

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

212323313100 is a wasteful number, since it uses less digits than its factorization.

212323313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15058455 (or 15058448 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212323313100 its reverse (1313323212), we get a palindrome (213636636312).

The spelling of 212323313100 in words is "two hundred twelve billion, three hundred twenty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 15058391 30116782 45175173 60233564 75291955 90350346 150583910 180700692 225875865 301167820 376459775 451751730 707744377 752919550 903503460 1129379325 1415488754 1505839100 2123233131 2258758650 2830977508 3538721885 4246466262 4517517300 7077443770 8492932524 10616165655 14154887540 17693609425 21232331310 35387218850 42464662620 53080828275 70774437700 106161656550 212323313100