Search a number
-
+
1032132134404 = 2271937230922709
BaseRepresentation
bin11110000010011111101…
…11101000011000000100
310122200010001200222102001
433001033313220120010
5113402301311300104
62110053245355044
7134366124250120
oct17011767503004
93580101628361
101032132134404
113687a7756078
1214804ab68a84
13764392c0117
1437d53b04580
151bcac653aa4
hexf04fde8604

1032132134404 has 96 divisors (see below), whose sum is σ = 2232701856000. Its totient is φ = 407540657664.

The previous prime is 1032132134389. The next prime is 1032132134419. The reversal of 1032132134404 is 4044312312301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1032132134389) and next prime (1032132134419).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 45439002 + ... + 45461710.

It is an arithmetic number, because the mean of its divisors is an integer number (23257311000).

Almost surely, 21032132134404 is an apocalyptic number.

1032132134404 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 1032132134404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116350928000).

1032132134404 is an abundant number, since it is smaller than the sum of its proper divisors (1200569721596).

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

1032132134404 is a wasteful number, since it uses less digits than its factorization.

1032132134404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25085 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1032132134404 its reverse (4044312312301), we get a palindrome (5076444446705).

The spelling of 1032132134404 in words is "one trillion, thirty-two billion, one hundred thirty-two million, one hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 518 532 703 1036 1406 2309 2812 4618 4921 9236 9842 16163 19684 22709 32326 43871 45418 64652 85433 87742 90836 158963 170866 175484 307097 317926 341732 431471 598031 614194 635852 840233 862942 1196062 1228388 1623227 1680466 1725884 2392124 3020297 3246454 3360932 5881631 6040594 6492908 11362589 11763262 12081188 15964427 22725178 23526524 31928854 45450356 52435081 63857708 104870162 111750989 209740324 223501978 367045567 447003956 734091134 996266539 1468182268 1940097997 1992533078 3880195994 3985066156 6973865773 7760391988 13580685979 13947731546 27161371958 27895463092 36861861943 54322743916 73723723886 147447447772 258033033601 516066067202 1032132134404