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10201420031220 = 223251189178932359
BaseRepresentation
bin1001010001110011010000…
…0001000110010011110100
31100010020122111112222221200
42110130310001012103310
52314120002011444340
633410245003212500
72102012461353105
oct224346401062364
940106574488850
1010201420031220
113283441725740
12118912ab17130
1358ccb371a852
14273a73a583ac
1512a567db7330
hex947340464f4

10201420031220 has 288 divisors, whose sum is σ = 34156860192000. Its totient is φ = 2443841832960.

The previous prime is 10201420031203. The next prime is 10201420031227. The reversal of 10201420031220 is 2213002410201.

It is a happy number.

10201420031220 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 420 + 0 + 3 + 1 + 220 = 666.

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 = 10201420031193 and 10201420031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201420031227) 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, 315241401 + ... + 315273759.

It is an arithmetic number, because the mean of its divisors is an integer number (118600209000).

Almost surely, 210201420031220 is an apocalyptic number.

10201420031220 is a gapful number since it is divisible by the number (10) 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 10201420031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17078430096000).

10201420031220 is an abundant number, since it is smaller than the sum of its proper divisors (23955440160780).

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

10201420031220 is a wasteful number, since it uses less digits than its factorization.

10201420031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34263 (or 34258 counting only the distinct ones).

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

Adding to 10201420031220 its reverse (2213002410201), we get a palindrome (12414422441421).

The spelling of 10201420031220 in words is "ten trillion, two hundred one billion, four hundred twenty million, thirty-one thousand, two hundred twenty".