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31222020000 = 253543791373
BaseRepresentation
bin11101000100111110…
…100011011110100000
32222120220201221200010
4131010332203132200
51002420314120000
622202044124520
72153465535243
oct350476433640
988526657603
1031222020000
111227201a816
126074236740
132c375c9262
14172286b25a
15c2b063d50
hex744fa37a0

31222020000 has 240 divisors, whose sum is σ = 102759481440. Its totient is φ = 8297856000.

The previous prime is 31222019989. The next prime is 31222020007. The reversal of 31222020000 is 2022213.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (31222020007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22739314 + ... + 22740686.

It is an arithmetic number, because the mean of its divisors is an integer number (428164506).

Almost surely, 231222020000 is an apocalyptic number.

31222020000 is a gapful number since it is divisible by the number (30) 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 31222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51379740720).

31222020000 is an abundant number, since it is smaller than the sum of its proper divisors (71537461440).

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

31222020000 is a wasteful number, since it uses less digits than its factorization.

31222020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 31222020000 its reverse (2022213), we get a palindrome (31224042213).

The spelling of 31222020000 in words is "thirty-one billion, two hundred twenty-two million, twenty thousand".