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10110201112020 = 22356710737962017
BaseRepresentation
bin1001001100011111011011…
…1100100010010111010100
31022210112012022001210000210
42103013312330202113110
52311121142441041040
633300321241205420
72062303131343212
oct223076674422724
938715168053023
1010110201112020
113248791a56609
121173511a90870
1358450720b909
1426d49cd03cb2
15127ec9a14480
hex931f6f225d4

10110201112020 has 192 divisors, whose sum is σ = 29076578657280. Its totient is φ = 2624009084928.

The previous prime is 10110201111931. The next prime is 10110201112027. The reversal of 10110201112020 is 2021110201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10110201111987 and 10110201112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110201112027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162992052 + ... + 163054068.

It is an arithmetic number, because the mean of its divisors is an integer number (151440513840).

Almost surely, 210110201112020 is an apocalyptic number.

10110201112020 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 10110201112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538289328640).

10110201112020 is an abundant number, since it is smaller than the sum of its proper divisors (18966377545260).

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

10110201112020 is a wasteful number, since it uses less digits than its factorization.

10110201112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62582 (or 62580 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10110201112020 its reverse (2021110201101), we get a palindrome (12131311313121).

The spelling of 10110201112020 in words is "ten trillion, one hundred ten billion, two hundred one million, one hundred twelve thousand, twenty".