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31403122000 = 2453101155461
BaseRepresentation
bin11101001111110001…
…011001110101010000
310000001112111212220121
4131033301121311100
51003303144401000
622232033520024
72161125063355
oct351761316520
9100045455817
1031403122000
1112355275398
126104a13014
132c65c978c3
14173c93062c
15c3bdd8b1a
hex74fc59d50

31403122000 has 80 divisors (see below), whose sum is σ = 76685051664. Its totient is φ = 12436800000.

The previous prime is 31403121977. The next prime is 31403122001. The reversal of 31403122000 is 22130413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 55711296 + 31347410704 = 7464^2 + 177052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31403122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124270 + ... + 279730.

Almost surely, 231403122000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31403122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38342525832).

31403122000 is an abundant number, since it is smaller than the sum of its proper divisors (45281929664).

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

31403122000 is a wasteful number, since it uses less digits than its factorization.

31403122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155585 (or 155569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31403122000 its reverse (22130413), we get a palindrome (31425252413).

The spelling of 31403122000 in words is "thirty-one billion, four hundred three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 101000 155461 202000 310922 621844 777305 1243688 1554610 2487376 3109220 3886525 6218440 7773050 12436880 15546100 15701561 19432625 31092200 31403122 38865250 62184400 62806244 77730500 78507805 125612488 155461000 157015610 251224976 310922000 314031220 392539025 628062440 785078050 1256124880 1570156100 1962695125 3140312200 3925390250 6280624400 7850780500 15701561000 31403122000