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10140223401 = 32711107136751
BaseRepresentation
bin10010111000110011…
…11000011110101001
3222011200121201110200
421130121320132221
5131231344122101
64354112102413
7506166322350
oct113431703651
928150551420
1010140223401
114333989a20
121b6bb34a09
13c57a753b9
146c2a24997
153e535a986
hex25c6787a9

10140223401 has 48 divisors (see below), whose sum is σ = 18431981568. Its totient is φ = 5218380000.

The previous prime is 10140223381. The next prime is 10140223439. The reversal of 10140223401 is 10432204101.

10140223401 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 223 + 401 = 666.

10140223401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10140223401 - 25 = 10140223369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10140225401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5776 + ... + 142526.

It is an arithmetic number, because the mean of its divisors is an integer number (383999616).

Almost surely, 210140223401 is an apocalyptic number.

10140223401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10140223401 is a deficient number, since it is larger than the sum of its proper divisors (8291758167).

10140223401 is a wasteful number, since it uses less digits than its factorization.

10140223401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136882 (or 136879 counting only the distinct ones).

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

Adding to 10140223401 its reverse (10432204101), we get a palindrome (20572427502).

The spelling of 10140223401 in words is "ten billion, one hundred forty million, two hundred twenty-three thousand, four hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 107 231 321 693 749 963 1177 2247 3531 6741 8239 10593 24717 74151 136751 410253 957257 1230759 1504261 2871771 4512783 8615313 10529827 13538349 14632357 31589481 43897071 94768443 102426499 131691213 160955927 307279497 482867781 921838491 1126691489 1448603343 3380074467 10140223401