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212101132122 = 23311357072613
BaseRepresentation
bin1100010110001000110…
…1100110111101011010
3202021110200200220001000
43011202031212331122
511433340342211442
6241234331205430
721216030606405
oct3054215467532
9667420626030
10212101132122
1181a51617940
12351342a6876
1317002402899
14a3a1306d3c
1557b5a1ed4c
hex3162366f5a

212101132122 has 32 divisors (see below), whose sum is σ = 514184564160. Its totient is φ = 64273070160.

The previous prime is 212101132091. The next prime is 212101132163. The reversal of 212101132122 is 221231101212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212101132095 and 212101132104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178535713 + ... + 178536900.

It is an arithmetic number, because the mean of its divisors is an integer number (16068267630).

Almost surely, 2212101132122 is an apocalyptic number.

212101132122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212101132122 is an abundant number, since it is smaller than the sum of its proper divisors (302083432038).

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

212101132122 is a wasteful number, since it uses less digits than its factorization.

212101132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357072635 (or 357072629 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212101132122 its reverse (221231101212), we get a palindrome (433332233334).

The spelling of 212101132122 in words is "two hundred twelve billion, one hundred one million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 357072613 714145226 1071217839 2142435678 3213653517 3927798743 6427307034 7855597486 9640960551 11783396229 19281921102 23566792458 35350188687 70700377374 106050566061 212101132122