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10011111000020 = 22513336171145381
BaseRepresentation
bin1001000110101110010010…
…1101110000011111010100
31022110001102112112112110122
42101223210231300133110
52303010223404000040
633143012500211112
72052164443315334
oct221534455603724
938401375475418
1010011111000020
11320a763196869
121158278999a98
13578075078450
1426877ca550c4
1512562a60b1b5
hex91ae4b707d4

10011111000020 has 48 divisors (see below), whose sum is σ = 22641205820688. Its totient is φ = 3696297031680.

The previous prime is 10011111000017. The next prime is 10011111000049. The reversal of 10011111000020 is 2000011111001.

It is a happy number.

10011111000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 296195000644 + 9714915999376 = 544238^2 + 3116876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011110999971 and 10011111000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8167730 + ... + 9313110.

It is an arithmetic number, because the mean of its divisors is an integer number (471691787931).

Almost surely, 210011111000020 is an apocalyptic number.

10011111000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011111000020 is an abundant number, since it is smaller than the sum of its proper divisors (12630094820668).

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

10011111000020 is a wasteful number, since it uses less digits than its factorization.

10011111000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179020 (or 1179018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011111000020 its reverse (2000011111001), we get a palindrome (12011122111021).

The spelling of 10011111000020 in words is "ten trillion, eleven billion, one hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 33617 67234 134468 168085 336170 437021 672340 874042 1145381 1748084 2185105 2290762 4370210 4581524 5726905 8740420 11453810 14889953 22907620 29779906 59559812 74449765 148899530 297799060 38504273077 77008546154 154017092308 192521365385 385042730770 500555550001 770085461540 1001111100002 2002222200004 2502777750005 5005555500010 10011111000020