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10110101200020 = 22325197285112837
BaseRepresentation
bin1001001100011111000011…
…1111011001110010010100
31022210111221100001201112100
42103013300333121302110
52311120441401400040
633300303311522100
72062300506165453
oct223076077316224
938714840051470
1010110101200020
113248740615208
1211734a4529330
135844bc5c91a3
1426d48d936b9a
15127ec0d7ab30
hex931f0fd9c94

10110101200020 has 72 divisors (see below), whose sum is σ = 30822978690504. Its totient is φ = 2682341561088.

The previous prime is 10110101200013. The next prime is 10110101200061. The reversal of 10110101200020 is 2000210101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2643993073296 + 7466108126724 = 1626036^2 + 2732418^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110101199975 and 10110101200011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142520959 + ... + 142591878.

It is an arithmetic number, because the mean of its divisors is an integer number (428096926257).

Almost surely, 210110101200020 is an apocalyptic number.

10110101200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110101200020 is an abundant number, since it is smaller than the sum of its proper divisors (20712877490484).

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

10110101200020 is a wasteful number, since it uses less digits than its factorization.

10110101200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285113049 (or 285113044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110101200020 its reverse (2000210101101), we get a palindrome (12110311301121).

The spelling of 10110101200020 in words is "ten trillion, one hundred ten billion, one hundred one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 285112837 570225674 855338511 1140451348 1425564185 1710677022 2566015533 2851128370 3421354044 4276692555 5132031066 5702256740 8553385110 10264062132 12830077665 17106770220 25660155330 51320310660 56167228889 112334457778 168501686667 224668915556 280836144445 337003373334 505505060001 561672288890 674006746668 842508433335 1011010120002 1123344577780 1685016866670 2022020240004 2527525300005 3370033733340 5055050600010 10110101200020