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10001400431220 = 2232511191571693333
BaseRepresentation
bin1001000110001010000111…
…1010111000001001110100
31022102010100210101112022100
42101202201322320021310
52302330332002244340
633134325133102100
72051402011664202
oct221424172701164
938363323345270
1010001400431220
11320662a8977a0
121156408927930
13577188328353
142680db114072
1512525cd70830
hex918a1eb8274

10001400431220 has 288 divisors, whose sum is σ = 35059329002880. Its totient is φ = 2282340602880.

The previous prime is 10001400431171. The next prime is 10001400431227. The reversal of 10001400431220 is 2213400410001.

10001400431220 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 400 + 43 + 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 = 10001400431193 and 10001400431202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001400431227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5059674 + ... + 6753006.

It is an arithmetic number, because the mean of its divisors is an integer number (121733781260).

Almost surely, 210001400431220 is an apocalyptic number.

10001400431220 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 10001400431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17529664501440).

10001400431220 is an abundant number, since it is smaller than the sum of its proper divisors (25057928571660).

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

10001400431220 is a wasteful number, since it uses less digits than its factorization.

10001400431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693535 (or 1693530 counting only the distinct ones).

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

Adding to 10001400431220 its reverse (2213400410001), we get a palindrome (12214800841221).

The spelling of 10001400431220 in words is "ten trillion, one billion, four hundred million, four hundred thirty-one thousand, two hundred twenty".