Search a number
-
+
1012012011021 = 311414360728657
BaseRepresentation
bin11101011101000001001…
…11011100111000001101
310120202011212010210212010
432232200213130320031
5113040100033323041
62052524545331433
7133054413106224
oct16564047347015
93522155123763
101012012011021
11360212440630
12144174936b79
1374580a7737b
1436da58adcbb
151b4d10aaa16
hexeba09dce0d

1012012011021 has 64 divisors (see below), whose sum is σ = 1545584173056. Its totient is φ = 583482009600.

The previous prime is 1012012010993. The next prime is 1012012011041. The reversal of 1012012011021 is 1201102102101.

It is not a de Polignac number, because 1012012011021 - 210 = 1012012009997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012012010988 and 1012012011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012012011041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35300325 + ... + 35328981.

It is an arithmetic number, because the mean of its divisors is an integer number (24149752704).

Almost surely, 21012012011021 is an apocalyptic number.

1012012011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012012011021 is a deficient number, since it is larger than the sum of its proper divisors (533572162035).

1012012011021 is a wasteful number, since it uses less digits than its factorization.

1012012011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29362.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012012011021 its reverse (1201102102101), we get a palindrome (2213114113122).

The spelling of 1012012011021 in words is "one trillion, twelve billion, twelve million, eleven thousand, twenty-one".

Divisors: 1 3 11 33 41 43 123 129 451 473 607 1353 1419 1763 1821 5289 6677 19393 20031 24887 26101 28657 58179 74661 78303 85971 273757 287111 315227 821271 861333 945681 1070141 1174937 1232251 3210423 3524811 3696753 11771551 12924307 13554761 17394799 35314653 38772921 40664283 50522291 52184397 151566873 191342789 555745201 574028367 713186759 747976357 1667235603 2139560277 2243929071 7845054349 8227739927 23535163047 24683219781 30667030637 92001091911 337337337007 1012012011021