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4013211022020 = 22335231087297263
BaseRepresentation
bin111010011001100110000…
…001000111001011000100
3112012122210120120011012000
4322121212001013023010
51011223024010201040
612311351012025300
7562642052562234
oct72314601071304
915178716504160
104013211022020
111307aa1aa7a92
12549954302230
132315a0b13525
14dc351b19cc4
156e5d5be2130
hex3a6660472c4

4013211022020 has 192 divisors, whose sum is σ = 13040424714240. Its totient is φ = 1022714453376.

The previous prime is 4013211021983. The next prime is 4013211022027. The reversal of 4013211022020 is 202201123104.

It is a happy number.

4013211022020 is a `hidden beast` number, since 40 + 1 + 321 + 102 + 202 + 0 = 666.

It is a super-2 number, since 2×40132110220202 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4013211021984 and 4013211022002.

It is not an unprimeable number, because it can be changed into a prime (4013211022027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13351909 + ... + 13649171.

It is an arithmetic number, because the mean of its divisors is an integer number (67918878720).

Almost surely, 24013211022020 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 4013211022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520212357120).

4013211022020 is an abundant number, since it is smaller than the sum of its proper divisors (9027213692220).

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

4013211022020 is a wasteful number, since it uses less digits than its factorization.

4013211022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298391 (or 298383 counting only the distinct ones).

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

Adding to 4013211022020 its reverse (202201123104), we get a palindrome (4215412145124).

The spelling of 4013211022020 in words is "four trillion, thirteen billion, two hundred eleven million, twenty-two thousand, twenty".