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10011401122320 = 2434513118843793
BaseRepresentation
bin1001000110101111011000…
…0000011111001000010000
31022110002011202110021110000
42101223312000133020100
52303011322141403240
633143101342410000
72052204565315053
oct221536600371020
938402152407400
1010011401122320
11320a8a1a33a64
121158339b90900
135780c01c8250
142687a93b6a9a
15125645d18430
hex91af601f210

10011401122320 has 200 divisors, whose sum is σ = 37445777988696. Its totient is φ = 2464344870912.

The previous prime is 10011401122301. The next prime is 10011401122343. The reversal of 10011401122320 is 2322110411001.

10011401122320 is a `hidden beast` number, since 10 + 0 + 11 + 401 + 1 + 223 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231045571584 + 9780355550736 = 480672^2 + 3127356^2 .

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 = 10011401122293 and 10011401122302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59337657 + ... + 59506136.

Almost surely, 210011401122320 is an apocalyptic number.

10011401122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011401122320 is an abundant number, since it is smaller than the sum of its proper divisors (27434376866376).

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

10011401122320 is a wasteful number, since it uses less digits than its factorization.

10011401122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118843831 (or 118843816 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10011401122320 its reverse (2322110411001), we get a palindrome (12333511533321).

The spelling of 10011401122320 in words is "ten trillion, eleven billion, four hundred one million, one hundred twenty-two thousand, three hundred twenty".