Search a number
-
+
212123222322 = 231121971483151
BaseRepresentation
bin1100010110001110000…
…1111000000100110010
3202021112020021012002120
43011203201320010302
511433412021103242
6241240440455110
721216416432334
oct3054341700462
9667466235076
10212123222322
1181a63035600
123513b77a496
1317006b684cb
14a3a4217454
1557b79351ec
hex3163878132

212123222322 has 48 divisors (see below), whose sum is σ = 468687897216. Its totient is φ = 63953428000.

The previous prime is 212123222279. The next prime is 212123222323. The reversal of 212123222322 is 223222321212.

It is a super-2 number, since 2×2121232223222 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212123222292 and 212123222301.

It is not an unprimeable number, because it can be changed into a prime (212123222323) 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, 598554 + ... + 884597.

It is an arithmetic number, because the mean of its divisors is an integer number (9764331192).

Almost surely, 2212123222322 is an apocalyptic number.

212123222322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212123222322 is an abundant number, since it is smaller than the sum of its proper divisors (256564674894).

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

212123222322 is a wasteful number, since it uses less digits than its factorization.

212123222322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483375 (or 1483364 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 212123222322 its reverse (223222321212), we get a palindrome (435345543534).

The spelling of 212123222322 in words is "two hundred twelve billion, one hundred twenty-three million, two hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 197 242 363 394 591 726 1182 2167 4334 6501 13002 23837 47674 71511 143022 1483151 2966302 4449453 8898906 16314661 32629322 48943983 97887966 179461271 292180747 358922542 538383813 584361494 876542241 1076767626 1753084482 3213988217 6427976434 9641964651 19283929302 35353870387 70707740774 106061611161 212123222322