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22021002120 = 233513471571913
BaseRepresentation
bin10100100000100011…
…011101001110001000
32002211200101210222010
4110200203131032020
5330044334031440
614041042255520
71406462300235
oct244043351610
962750353863
1022021002120
119380310907
1243269575a0
1320cc2c6590
1410cc88a78c
1588d3cb580
hex5208dd388

22021002120 has 256 divisors, whose sum is σ = 73159511040. Its totient is φ = 5268676608.

The previous prime is 22021002119. The next prime is 22021002121. The reversal of 22021002120 is 2120012022.

It is an interprime number because it is at equal distance from previous prime (22021002119) and next prime (22021002121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22021002096 and 22021002105.

It is not an unprimeable number, because it can be changed into a prime (22021002121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11510284 + ... + 11512196.

It is an arithmetic number, because the mean of its divisors is an integer number (285779340).

Almost surely, 222021002120 is an apocalyptic number.

22021002120 is a gapful number since it is divisible by the number (20) 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 22021002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36579755520).

22021002120 is an abundant number, since it is smaller than the sum of its proper divisors (51138508920).

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

22021002120 is a wasteful number, since it uses less digits than its factorization.

22021002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22021002120 its reverse (2120012022), we get a palindrome (24141014142).

The spelling of 22021002120 in words is "twenty-two billion, twenty-one million, two thousand, one hundred twenty".