Search a number
-
+
10116371141240 = 2357132779222841
BaseRepresentation
bin1001001100110110011010…
…1101010101001001111000
31022211010010022001201221112
42103031212231111021320
52311221312003004430
633303221410255452
72062612051621460
oct223154655251170
938733108051845
1010116371141240
113250368859911
121174754287588
13584c7b59a090
1426d8c6532ba0
1512823b536195
hex93366b55278

10116371141240 has 64 divisors (see below), whose sum is σ = 28014566247360. Its totient is φ = 3201664711680.

The previous prime is 10116371141231. The next prime is 10116371141257. The reversal of 10116371141240 is 4214117361101.

10116371141240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10116371141197 and 10116371141206.

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, 1389607781 + ... + 1389615060.

It is an arithmetic number, because the mean of its divisors is an integer number (437727597615).

Almost surely, 210116371141240 is an apocalyptic number.

10116371141240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10116371141240 is an abundant number, since it is smaller than the sum of its proper divisors (17898195106120).

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

10116371141240 is a wasteful number, since it uses less digits than its factorization.

10116371141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779222872 (or 2779222868 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 10116371141240 in words is "ten trillion, one hundred sixteen billion, three hundred seventy-one million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 2779222841 5558445682 11116891364 13896114205 19454559887 22233782728 27792228410 36129896933 38909119774 55584456820 72259793866 77818239548 97272799435 111168913640 144519587732 155636479096 180649484665 194545598870 252909278531 289039175464 361298969330 389091197740 505818557062 722597938660 778182395480 1011637114124 1264546392655 1445195877320 2023274228248 2529092785310 5058185570620 10116371141240