Search a number
-
+
1004211244212 = 2231123389850303
BaseRepresentation
bin11101001110011111010…
…01111000110010110100
310120000001012121210111220
432213033221320302310
5112423111034303322
62045154524030340
7132360201510651
oct16471751706264
93500035553456
101004211244212
1135797a082010
121427583923b0
13739098b0517
1436865868c28
151b1c631755c
hexe9cfa78cb4

1004211244212 has 96 divisors (see below), whose sum is σ = 2674172067840. Its totient is φ = 290327114880.

The previous prime is 1004211244207. The next prime is 1004211244213. The reversal of 1004211244212 is 2124421124001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004211244213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755853 + ... + 1606155.

It is an arithmetic number, because the mean of its divisors is an integer number (27855959040).

Almost surely, 21004211244212 is an apocalyptic number.

1004211244212 is a gapful number since it is divisible by the number (12) 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 1004211244212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337086033920).

1004211244212 is an abundant number, since it is smaller than the sum of its proper divisors (1669960823628).

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

1004211244212 is a wasteful number, since it uses less digits than its factorization.

1004211244212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850733 (or 850731 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1004211244212 its reverse (2124421124001), we get a palindrome (3128632368213).

The spelling of 1004211244212 in words is "one trillion, four billion, two hundred eleven million, two hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 389 506 759 778 1012 1167 1518 1556 2334 3036 4279 4668 8558 8947 12837 17116 17894 25674 26841 35788 51348 53682 98417 107364 196834 295251 393668 590502 850303 1181004 1700606 2550909 3401212 5101818 9353333 10203636 18706666 19556969 28059999 37413332 39113938 56119998 58670907 78227876 112239996 117341814 215126659 234683628 330767867 430253318 645379977 661535734 860506636 992303601 1290759954 1323071468 1984607202 2581519908 3638446537 3969214404 7276893074 7607660941 10915339611 14553786148 15215321882 21830679222 22822982823 30430643764 43661358444 45645965646 83684270351 91291931292 167368540702 251052811053 334737081404 502105622106 1004211244212