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13022030001204 = 2235753119330269
BaseRepresentation
bin1011110101111110110101…
…1110001111010000110100
31201002220010122211112200000
42331133231132033100310
53201323104140014304
643410123223551300
72512545020462220
oct275375536172064
951086118745600
1013022030001204
1141706804a7764
12156390b5bb530
13735c83ab2aa3
143303abb75780
15178aed73e939
hexbd7ed78f434

13022030001204 has 288 divisors, whose sum is σ = 39783218791680. Its totient is φ = 3647200048128.

The previous prime is 13022030001191. The next prime is 13022030001271. The reversal of 13022030001204 is 40210003022031.

13022030001204 is a `hidden beast` number, since 130 + 220 + 300 + 0 + 12 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430194982 + ... + 430225250.

It is an arithmetic number, because the mean of its divisors is an integer number (138136176360).

Almost surely, 213022030001204 is an apocalyptic number.

13022030001204 is a gapful number since it is divisible by the number (14) 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 13022030001204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891609395840).

13022030001204 is an abundant number, since it is smaller than the sum of its proper divisors (26761188790476).

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

13022030001204 is a wasteful number, since it uses less digits than its factorization.

13022030001204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31541 (or 31527 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13022030001204 its reverse (40210003022031), we get a palindrome (53232033023235).

The spelling of 13022030001204 in words is "thirteen trillion, twenty-two billion, thirty million, one thousand, two hundred four".