Search a number
-
+
1101111010974 = 2321329223727633
BaseRepresentation
bin10000000001011111010…
…101001010011010011110
310220021011022121222021100
4100001133111022122132
5121020033404322344
62201502102213530
7142360362110412
oct20013725123236
93807138558240
101101111010974
11394a84506a87
1215949ba242a6
137cab0012a10
143b418c70d42
151d9982ae569
hex1005f54a69e

1101111010974 has 96 divisors (see below), whose sum is σ = 2669776462080. Its totient is φ = 325653156864.

The previous prime is 1101111010973. The next prime is 1101111010999. The reversal of 1101111010974 is 4790101111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111010973) by changing a digit.

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, 1149462 + ... + 1877094.

It is an arithmetic number, because the mean of its divisors is an integer number (27810171480).

Almost surely, 21101111010974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101111010974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334888231040).

1101111010974 is an abundant number, since it is smaller than the sum of its proper divisors (1568665451106).

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

1101111010974 is a wasteful number, since it uses less digits than its factorization.

1101111010974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727906 (or 727903 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 27.

Adding to 1101111010974 its reverse (4790101111011), we get a palindrome (5891212121985).

The spelling of 1101111010974 in words is "one trillion, one hundred one billion, one hundred eleven million, ten thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 223 234 261 377 446 522 669 754 1131 1338 2007 2262 2899 3393 4014 5798 6467 6786 8697 12934 17394 19401 26091 38802 52182 58203 84071 116406 168142 252213 504426 727633 756639 1455266 1513278 2182899 4365798 6548697 9459229 13097394 18918458 21101357 28377687 42202714 56755374 63304071 85133061 126608142 162262159 170266122 189912213 274317641 324524318 379824426 486786477 548635282 822952923 973572954 1460359431 1645905846 2109408067 2468858769 2920718862 4218816134 4705602611 4937717538 6328224201 9411205222 12656448402 14116807833 18984672603 28233615666 37969345206 42350423499 61172833943 84700846998 122345667886 183518501829 367037003658 550555505487 1101111010974