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10311023040 = 263573314653
BaseRepresentation
bin10011001101001010…
…11011100111000000
3222121121000020112020
421212211123213000
5132104110214130
64423053001440
7513342151443
oct114645334700
928547006466
1010311023040
11441133824a
121bb9183280
13c84277686
146db5a565a
15405347e10
hex26695b9c0

10311023040 has 112 divisors (see below), whose sum is σ = 32784397728. Its totient is φ = 2745667584.

The previous prime is 10311023017. The next prime is 10311023059. The reversal of 10311023040 is 4032011301.

It is a super-2 number, since 2×103110230402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696354 + ... + 711006.

Almost surely, 210311023040 is an apocalyptic number.

10311023040 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 10311023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392198864).

10311023040 is an abundant number, since it is smaller than the sum of its proper divisors (22473374688).

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

10311023040 is a wasteful number, since it uses less digits than its factorization.

10311023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406 (or 15396 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10311023040 its reverse (4032011301), we get a palindrome (14343034341).

The spelling of 10311023040 in words is "ten billion, three hundred eleven million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 733 960 1466 2199 2932 3665 4398 5864 7330 8796 10995 11728 14653 14660 17592 21990 23456 29306 29320 35184 43959 43980 46912 58612 58640 70368 73265 87918 87960 117224 117280 140736 146530 175836 175920 219795 234448 234560 293060 351672 351840 439590 468896 586120 703344 703680 879180 937792 1172240 1406688 1758360 2344480 2813376 3516720 4688960 7033440 10740649 14066880 21481298 32221947 42962596 53703245 64443894 85925192 107406490 128887788 161109735 171850384 214812980 257775576 322219470 343700768 429625960 515551152 644438940 687401536 859251920 1031102304 1288877880 1718503840 2062204608 2577755760 3437007680 5155511520 10311023040