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22121003142 = 2327416779809
BaseRepresentation
bin10100100110100000…
…111011100010000110
32010002122120101120200
4110212200323202012
5330300434100032
614055013511330
71412115265350
oct244640734206
963078511520
1022121003142
119421803087
124354342546
132116c3a694
1410dbc7c0d0
1589708147c
hex52683b886

22121003142 has 192 divisors, whose sum is σ = 57741465600. Its totient is φ = 5989800960.

The previous prime is 22121003141. The next prime is 22121003161. The reversal of 22121003142 is 24130012122.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121003141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27343234 + ... + 27344042.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 222121003142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121003142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28870732800).

22121003142 is an abundant number, since it is smaller than the sum of its proper divisors (35620462458).

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

22121003142 is a wasteful number, since it uses less digits than its factorization.

22121003142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22121003142 its reverse (24130012122), we get a palindrome (46251015264).

The spelling of 22121003142 in words is "twenty-two billion, one hundred twenty-one million, three thousand, one hundred forty-two".