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21122013132 = 223211241227521
BaseRepresentation
bin10011101010111110…
…000101011111001100
32000112000210102220200
4103222332011133030
5321224213410012
613411530013500
71345265102133
oct235276053714
960460712820
1021122013132
118a5990a100
124115877290
131cb7c9512c
14104531491a
158394ee3dc
hex4eaf857cc

21122013132 has 216 divisors, whose sum is σ = 60498927216. Its totient is φ = 6205056000.

The previous prime is 21122013083. The next prime is 21122013139. The reversal of 21122013132 is 23131022112.

It is a super-2 number, since 2×211220131322 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21122013139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40541032 + ... + 40541552.

It is an arithmetic number, because the mean of its divisors is an integer number (280087626).

Almost surely, 221122013132 is an apocalyptic number.

21122013132 is a gapful number since it is divisible by the number (22) 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 21122013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30249463608).

21122013132 is an abundant number, since it is smaller than the sum of its proper divisors (39376914084).

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

21122013132 is a wasteful number, since it uses less digits than its factorization.

21122013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21122013132 its reverse (23131022112), we get a palindrome (44253035244).

The spelling of 21122013132 in words is "twenty-one billion, one hundred twenty-two million, thirteen thousand, one hundred thirty-two".