Search a number
-
+
212123210100 = 223522251314117
BaseRepresentation
bin1100010110001110000…
…1110101000101110100
3202021112020020120022220
43011203201311011310
511433412020210400
6241240440322340
721216416351604
oct3054341650564
9667466216286
10212123210100
1181a630273aa
123513b7733b0
1317006b62a89
14a3a4212c04
1557b79317a0
hex3163875174

212123210100 has 72 divisors (see below), whose sum is σ = 614017762848. Its totient is φ = 56540880000.

The previous prime is 212123210099. The next prime is 212123210111. The reversal of 212123210100 is 1012321212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212123210100.

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, 518242 + ... + 832358.

It is an arithmetic number, because the mean of its divisors is an integer number (8528024484).

Almost surely, 2212123210100 is an apocalyptic number.

212123210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123210100 is an abundant number, since it is smaller than the sum of its proper divisors (401894552748).

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

212123210100 is a wasteful number, since it uses less digits than its factorization.

212123210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316385 (or 316378 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212123210100 its reverse (1012321212), we get a palindrome (213135531312).

The spelling of 212123210100 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2251 4502 6753 9004 11255 13506 22510 27012 33765 45020 56275 67530 112550 135060 168825 225100 314117 337650 628234 675300 942351 1256468 1570585 1884702 3141170 3769404 4711755 6282340 7852925 9423510 15705850 18847020 23558775 31411700 47117550 94235100 707077367 1414154734 2121232101 2828309468 3535386835 4242464202 7070773670 8484928404 10606160505 14141547340 17676934175 21212321010 35353868350 42424642020 53030802525 70707736700 106061605050 212123210100