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10020111444 = 2232777351439
BaseRepresentation
bin10010101010011111…
…01100010001010100
3221212022121101211200
421111033230101110
5131010122031234
64334141432500
7503210353620
oct112517542124
927768541750
1010020111444
114282101042
121b3786b730
13c38c0c535
146b0aba180
153d9a31d99
hex2553ec454

10020111444 has 72 divisors (see below), whose sum is σ = 28984999680. Its totient is φ = 2859129792.

The previous prime is 10020111443. The next prime is 10020111461. The reversal of 10020111444 is 44411102001.

10020111444 is a `hidden beast` number, since 10 + 0 + 201 + 11 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020111443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169077 + ... + 220515.

It is an arithmetic number, because the mean of its divisors is an integer number (402569440).

Almost surely, 210020111444 is an apocalyptic number.

10020111444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10020111444 is an abundant number, since it is smaller than the sum of its proper divisors (18964888236).

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

10020111444 is a wasteful number, since it uses less digits than its factorization.

10020111444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52229 (or 52224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10020111444 its reverse (44411102001), we get a palindrome (54431213445).

The spelling of 10020111444 in words is "ten billion, twenty million, one hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 773 1546 2319 3092 4638 5411 6957 9276 10822 13914 16233 21644 27828 32466 48699 51439 64932 97398 102878 154317 194796 205756 308634 360073 462951 617268 720146 925902 1080219 1440292 1851804 2160438 3240657 4320876 6481314 12962628 39762347 79524694 119287041 159049388 238574082 278336429 357861123 477148164 556672858 715722246 835009287 1113345716 1431444492 1670018574 2505027861 3340037148 5010055722 10020111444