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402042122300 = 2252713199292503
BaseRepresentation
bin1011101100110111001…
…00111111000000111100
31102102202000011221011002
411312123210333000330
523041340240403200
6504410125545432
741021656440230
oct5663344770074
91372660157132
10402042122300
1114556132a085
1265b03115278
132bbb2743230
141565d4a45c0
15a6d0d2bbd5
hex5d9b93f03c

402042122300 has 288 divisors, whose sum is σ = 1131944217600. Its totient is φ = 120365015040.

The previous prime is 402042122299. The next prime is 402042122303. The reversal of 402042122300 is 3221240204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402042122303) 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, 160622849 + ... + 160625351.

Almost surely, 2402042122300 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 402042122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565972108800).

402042122300 is an abundant number, since it is smaller than the sum of its proper divisors (729902095300).

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

402042122300 is a wasteful number, since it uses less digits than its factorization.

402042122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 402042122300 its reverse (3221240204), we get a palindrome (405263362504).

The spelling of 402042122300 in words is "four hundred two billion, forty-two million, one hundred twenty-two thousand, three hundred".