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1011314421204 = 2232943109620029
BaseRepresentation
bin11101011011101110000…
…10010110110111010100
310120200101020111120112020
432231313002112313110
5113032132442434304
62052331425453140
7133031212513533
oct16556702266724
93520336446466
101011314421204
1135a99469801a
12143bbb1a11b0
137449c3a0029
1436d3ada231a
151b48ec125d9
hexeb77096dd4

1011314421204 has 96 divisors (see below), whose sum is σ = 2520793968000. Its totient is φ = 314994064896.

The previous prime is 1011314421203. The next prime is 1011314421209. The reversal of 1011314421204 is 4021244131101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011314421203) 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, 1321062 + ... + 1941090.

It is an arithmetic number, because the mean of its divisors is an integer number (26258270500).

Almost surely, 21011314421204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011314421204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260396984000).

1011314421204 is an abundant number, since it is smaller than the sum of its proper divisors (1509479546796).

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

1011314421204 is a wasteful number, since it uses less digits than its factorization.

1011314421204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620217 (or 620215 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1011314421204 its reverse (4021244131101), we get a palindrome (5032558552305).

The spelling of 1011314421204 in words is "one trillion, eleven billion, three hundred fourteen million, four hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 109 116 129 172 174 218 258 327 348 436 516 654 1247 1308 2494 3161 3741 4687 4988 6322 7482 9374 9483 12644 14061 14964 18748 18966 28122 37932 56244 135923 271846 407769 543692 620029 815538 1240058 1631076 1860087 2480116 3720174 7440348 17980841 26661247 35961682 53322494 53942523 67583161 71923364 79983741 106644988 107885046 135166322 159967482 202749483 215770092 270332644 319934964 405498966 773176163 810997932 1546352326 1959911669 2319528489 2906075923 3092704652 3919823338 4639056978 5812151846 5879735007 7839646676 8718227769 9278113956 11624303692 11759470014 17436455538 23518940028 34872911076 84276201767 168552403534 252828605301 337104807068 505657210602 1011314421204