Search a number
-
+
1010141112204 = 2232753619071367
BaseRepresentation
bin11101011001100010001…
…10100010011110001100
310120120100110201022011100
432230301012202132030
5113022232111042304
62052015153423100
7132660144532560
oct16546106423614
93516313638140
101010141112204
1135a442361664
1214393226aa90
1374343292653
1436c6921d6a0
151b421bea439
hexeb311a278c

1010141112204 has 288 divisors, whose sum is σ = 3027532225536. Its totient is φ = 278013565440.

The previous prime is 1010141112199. The next prime is 1010141112241. The reversal of 1010141112204 is 4022111410101.

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 95 ways as a sum of consecutive naturals, for example, 738946729 + ... + 738948095.

It is an arithmetic number, because the mean of its divisors is an integer number (10512264672).

Almost surely, 21010141112204 is an apocalyptic number.

1010141112204 is a gapful number since it is divisible by the number (14) 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 1010141112204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513766112768).

1010141112204 is an abundant number, since it is smaller than the sum of its proper divisors (2017391113332).

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

1010141112204 is a wasteful number, since it uses less digits than its factorization.

1010141112204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1010141112204 its reverse (4022111410101), we get a palindrome (5032252522305).

The spelling of 1010141112204 in words is "one trillion, ten billion, one hundred forty-one million, one hundred twelve thousand, two hundred four".