Search a number
-
+
1010100110490 = 232519857689267
BaseRepresentation
bin11101011001011101010…
…10001000010010011010
310120120020121120012101100
432230232222020102122
5113022141112013430
62052011130532230
7132656136163212
oct16545652102232
93516217505340
101010100110490
1135a4211a7449
12143920597076
1374337937b93
1436c639c9242
151b41d2eb960
hexeb2ea8849a

1010100110490 has 96 divisors (see below), whose sum is σ = 2767714297920. Its totient is φ = 254885052672.

The previous prime is 1010100110489. The next prime is 1010100110527. The reversal of 1010100110490 is 940110010101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120837 + ... + 1810103.

It is an arithmetic number, because the mean of its divisors is an integer number (28830357270).

Almost surely, 21010100110490 is an apocalyptic number.

1010100110490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010100110490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383857148960).

1010100110490 is an abundant number, since it is smaller than the sum of its proper divisors (1757614187430).

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

1010100110490 is a wasteful number, since it uses less digits than its factorization.

1010100110490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690156 (or 690153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1010100110490 its reverse (940110010101), we get a palindrome (1950210120591).

The spelling of 1010100110490 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 857 1710 1714 2571 4285 5142 7713 8570 12855 15426 16283 25710 32566 38565 48849 77130 81415 97698 146547 162830 244245 293094 488490 689267 732735 1378534 1465470 2067801 3446335 4135602 6203403 6892670 10339005 12406806 13096073 20678010 26192146 31017015 39288219 62034030 65480365 78576438 117864657 130960730 196441095 235729314 392882190 589323285 590701819 1178646570 1181403638 1772105457 2953509095 3544210914 5316316371 5907018190 8860527285 10632632742 11223334561 17721054570 22446669122 26581581855 33670003683 53163163710 56116672805 67340007366 101010011049 112233345610 168350018415 202020022098 336700036830 505050055245 1010100110490