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12210101213310 = 232571113433151913
BaseRepresentation
bin1011000110101110001010…
…1111101101100001111110
31121020021101221120120222100
42301223202233231201332
53100022241402311220
641545124300125530
72400102455606010
oct261534257554176
947207357516870
1012210101213310
113988302900080
1214524962368a6
136a753b676050
14302d8744c1b0
1516292d096d90
hexb1ae2bed87e

12210101213310 has 384 divisors, whose sum is σ = 43615631195136. Its totient is φ = 2287531653120.

The previous prime is 12210101213291. The next prime is 12210101213327. The reversal of 12210101213310 is 1331210101221.

12210101213310 is a `hidden beast` number, since 1 + 2 + 210 + 1 + 0 + 121 + 331 + 0 = 666.

It is a super-2 number, since 2×122101012133102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2297914 + ... + 5449826.

It is an arithmetic number, because the mean of its divisors is an integer number (113582372904).

Almost surely, 212210101213310 is an apocalyptic number.

12210101213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210101213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21807815597568).

12210101213310 is an abundant number, since it is smaller than the sum of its proper divisors (31405529981826).

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

12210101213310 is a wasteful number, since it uses less digits than its factorization.

12210101213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152000 (or 3151997 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12210101213310 its reverse (1331210101221), we get a palindrome (13541311314531).

The spelling of 12210101213310 in words is "twelve trillion, two hundred ten billion, one hundred one million, two hundred thirteen thousand, three hundred ten".