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10250111424 = 263733123041
BaseRepresentation
bin10011000101111010…
…00100100111000000
3222110100101121111110
421202331010213000
5131443012031144
64413035243320
7512002336530
oct114275044700
928410347443
1010250111424
11438aa14473
121ba08a9540
13c7476b7b7
146d346b4c0
153eed150b9
hex262f449c0

10250111424 has 112 divisors (see below), whose sum is σ = 31089372416. Its totient is φ = 2919628800.

The previous prime is 10250111413. The next prime is 10250111429. The reversal of 10250111424 is 42411105201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10250111424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10250111429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433344 + ... + 456384.

Almost surely, 210250111424 is an apocalyptic number.

10250111424 is a gapful number since it is divisible by the number (14) 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 10250111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544686208).

10250111424 is an abundant number, since it is smaller than the sum of its proper divisors (20839260992).

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

10250111424 is a wasteful number, since it uses less digits than its factorization.

10250111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23394 (or 23384 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10250111424 its reverse (42411105201), we get a palindrome (52661216625).

The spelling of 10250111424 in words is "ten billion, two hundred fifty million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 331 336 448 662 672 993 1324 1344 1986 2317 2648 3972 4634 5296 6951 7944 9268 10592 13902 15888 18536 21184 23041 27804 31776 37072 46082 55608 63552 69123 74144 92164 111216 138246 148288 161287 184328 222432 276492 322574 368656 444864 483861 552984 645148 737312 967722 1105968 1290296 1474624 1935444 2211936 2580592 3870888 4423872 5161184 7626571 7741776 10322368 15253142 15483552 22879713 30506284 30967104 45759426 53385997 61012568 91518852 106771994 122025136 160157991 183037704 213543988 244050272 320315982 366075408 427087976 488100544 640631964 732150816 854175952 1281263928 1464301632 1708351904 2562527856 3416703808 5125055712 10250111424