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212133000220 = 225591371976661
BaseRepresentation
bin1100010110010000011…
…1001011010000011100
3202021112220122221211221
43011210013023100130
511433422022001340
6241241430223124
721216565515331
oct3054407132034
9667486587757
10212133000220
1181a68603909
1235142ab4aa4
1317008bacc4b
14a3a5640988
1557b871744a
hex31641cb41c

212133000220 has 96 divisors (see below), whose sum is σ = 458721869760. Its totient is φ = 82373437440.

The previous prime is 212133000203. The next prime is 212133000221. The reversal of 212133000220 is 22000331212.

It is a junction number, because it is equal to n+sod(n) for n = 212133000194 and 212133000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133000221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31843690 + ... + 31850350.

It is an arithmetic number, because the mean of its divisors is an integer number (4778352810).

Almost surely, 2212133000220 is an apocalyptic number.

212133000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133000220 is an abundant number, since it is smaller than the sum of its proper divisors (246588869540).

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

212133000220 is a wasteful number, since it uses less digits than its factorization.

212133000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212133000220 its reverse (22000331212), we get a palindrome (234133331432).

The spelling of 212133000220 in words is "two hundred twelve billion, one hundred thirty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 59 118 137 197 236 274 295 394 548 590 685 788 985 1180 1370 1970 2740 3940 6661 8083 11623 13322 16166 23246 26644 26989 32332 33305 40415 46492 53978 58115 66610 80830 107956 116230 133220 134945 161660 232460 269890 392999 539780 785998 912557 1312217 1571996 1592351 1825114 1964995 2624434 3184702 3650228 3929990 4562785 5248868 6369404 6561085 7859980 7961755 9125570 13122170 15923510 18251140 26244340 31847020 53840863 77420803 107681726 154841606 179773729 215363452 269204315 309683212 359547458 387104015 538408630 719094916 774208030 898868645 1076817260 1548416060 1797737290 3595474580 10606650011 21213300022 42426600044 53033250055 106066500110 212133000220