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10042010400 = 2535233112641
BaseRepresentation
bin10010101101000110…
…01110101100100000
3221220211210222120010
421112203032230200
5131031223313100
64340243044520
7503564452152
oct112643165440
927824728503
1010042010400
1142934a9054
121b43070740
13c406090b6
146b397aad2
153db90a750
hex2568ceb20

10042010400 has 144 divisors (see below), whose sum is σ = 32788088928. Its totient is φ = 2669568000.

The previous prime is 10042010399. The next prime is 10042010401. The reversal of 10042010400 is 401024001.

It is an interprime number because it is at equal distance from previous prime (10042010399) and next prime (10042010401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10042010401) 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, 788080 + ... + 800720.

It is an arithmetic number, because the mean of its divisors is an integer number (227695062).

Almost surely, 210042010400 is an apocalyptic number.

10042010400 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 10042010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394044464).

10042010400 is an abundant number, since it is smaller than the sum of its proper divisors (22746078528).

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

10042010400 is a wasteful number, since it uses less digits than its factorization.

10042010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12995 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10042010400 its reverse (401024001), we get a palindrome (10443034401).

The spelling of 10042010400 in words is "ten billion, forty-two million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 331 400 480 600 662 800 993 1200 1324 1655 1986 2400 2648 3310 3972 4965 5296 6620 7944 8275 9930 10592 12641 13240 15888 16550 19860 24825 25282 26480 31776 33100 37923 39720 49650 50564 52960 63205 66200 75846 79440 99300 101128 126410 132400 151692 158880 189615 198600 202256 252820 264800 303384 316025 379230 397200 404512 505640 606768 632050 758460 794400 948075 1011280 1213536 1264100 1516920 1896150 2022560 2528200 3033840 3792300 4184171 5056400 6067680 7584600 8368342 10112800 12552513 15169200 16736684 20920855 25105026 30338400 33473368 41841710 50210052 62762565 66946736 83683420 100420104 104604275 125525130 133893472 167366840 200840208 209208550 251050260 313812825 334733680 401680416 418417100 502100520 627625650 669467360 836834200 1004201040 1255251300 1673668400 2008402080 2510502600 3347336800 5021005200 10042010400