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212213033120 = 25511210961417
BaseRepresentation
bin1100010110100011100…
…0011110100010100000
3202021202111021001100102
43011220320132202200
511434103014024440
6241253405441532
721221560006364
oct3055070364240
9667674231312
10212213033120
1181aa97a7800
12351658702a8
131701c6522aa
14a3b21152a4
1557c0775b15
hex3168e1e8a0

212213033120 has 72 divisors (see below), whose sum is σ = 551074328532. Its totient is φ = 77168368640.

The previous prime is 212213033107. The next prime is 212213033173. The reversal of 212213033120 is 21330312212.

It can be written as a sum of positive squares in 2 ways, for example, as 203520081424 + 8692951696 = 451132^2 + 93236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212213033092 and 212213033101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5461349 + ... + 5500068.

Almost surely, 2212213033120 is an apocalyptic number.

212213033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213033120 is an abundant number, since it is smaller than the sum of its proper divisors (338861295412).

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

212213033120 is a wasteful number, since it uses less digits than its factorization.

212213033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961454 (or 10961435 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212213033120 its reverse (21330312212), we get a palindrome (233543345332).

The spelling of 212213033120 in words is "two hundred twelve billion, two hundred thirteen million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 10961417 21922834 43845668 54807085 87691336 109614170 120575587 175382672 219228340 241151174 350765344 438456680 482302348 602877935 876913360 964604696 1205755870 1326331457 1753826720 1929209392 2411511740 2652662914 3858418784 4823023480 5305325828 6631657285 9646046960 10610651656 13263314570 19292093920 21221303312 26526629140 42442606624 53053258280 106106516560 212213033120