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10313022440 = 2357237321937
BaseRepresentation
bin10011001101011010…
…00011101111101000
3222121201202211012002
421212231003233220
5132110113204230
64423203510132
7513365146550
oct114655035750
928551684162
1010313022440
114412483446
121bb9988348
13c847c7756
146db966160
154055e0545
hex266b43be8

10313022440 has 128 divisors (see below), whose sum is σ = 28052559360. Its totient is φ = 3335675904.

The previous prime is 10313022431. The next prime is 10313022479. The reversal of 10313022440 is 4422031301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459152 + ... + 481088.

It is an arithmetic number, because the mean of its divisors is an integer number (219160620).

Almost surely, 210313022440 is an apocalyptic number.

10313022440 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 10313022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026279680).

10313022440 is an abundant number, since it is smaller than the sum of its proper divisors (17739536920).

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

10313022440 is a wasteful number, since it uses less digits than its factorization.

10313022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22051 (or 22047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10313022440 its reverse (4422031301), we get a palindrome (14735053741).

The spelling of 10313022440 in words is "ten billion, three hundred thirteen million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 73 92 115 140 146 161 184 230 280 292 322 365 460 511 584 644 730 805 920 1022 1288 1460 1610 1679 2044 2555 2920 3220 3358 4088 5110 6440 6716 8395 10220 11753 13432 16790 20440 21937 23506 33580 43874 47012 58765 67160 87748 94024 109685 117530 153559 175496 219370 235060 307118 438740 470120 504551 614236 767795 877480 1009102 1228472 1535590 1601401 2018204 2522755 3071180 3202802 3531857 4036408 5045510 6142360 6405604 7063714 8007005 10091020 11209807 12811208 14127428 16014010 17659285 20182040 22419614 28254856 32028020 35318570 36832223 44839228 56049035 64056040 70637140 73664446 89678456 112098070 141274280 147328892 184161115 224196140 257825561 294657784 368322230 448392280 515651122 736644460 1031302244 1289127805 1473288920 2062604488 2578255610 5156511220 10313022440