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212210101220 = 225132339789387
BaseRepresentation
bin1100010110100010110…
…1010010101111100100
3202021202021202002112112
43011220231102233210
511434101241214340
6241253222540152
721221523045515
oct3055055225744
9667667662475
10212210101220
1181aa8084a47
1235164897658
131701bb66940
14a3b1990a0c
1557c0397065
hex3168b52be4

212210101220 has 96 divisors (see below), whose sum is σ = 502054495488. Its totient is φ = 74758159872.

The previous prime is 212210101189. The next prime is 212210101231. The reversal of 212210101220 is 22101012212.

212210101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212210101195 and 212210101204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329367 + ... + 2418753.

It is an arithmetic number, because the mean of its divisors is an integer number (5229734328).

Almost surely, 2212210101220 is an apocalyptic number.

212210101220 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 212210101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251027247744).

212210101220 is an abundant number, since it is smaller than the sum of its proper divisors (289844394268).

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

212210101220 is a wasteful number, since it uses less digits than its factorization.

212210101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89829 (or 89827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212210101220 its reverse (22101012212), we get a palindrome (234311113432).

The spelling of 212210101220 in words is "two hundred twelve billion, two hundred ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 397 460 598 794 1196 1495 1588 1985 2990 3970 5161 5980 7940 9131 10322 18262 20644 25805 36524 45655 51610 89387 91310 103220 118703 178774 182620 237406 357548 446935 474812 593515 893870 1162031 1187030 1787740 2055901 2324062 2374060 4111802 4648124 5810155 8223604 10279505 11620310 20559010 23240620 26726713 35486639 41118020 53453426 70973278 106906852 133633565 141946556 177433195 267267130 354866390 461326307 534534260 709732780 816192697 922652614 1632385394 1845305228 2306631535 3264770788 4080963485 4613263070 8161926970 9226526140 10610505061 16323853940 21221010122 42442020244 53052525305 106105050610 212210101220