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1134241002200 = 2352241197311927
BaseRepresentation
bin10000100000010110000…
…010000011001011011000
311000102200012112220102102
4100200112002003023120
5122040411144032300
62225021345022532
7144642356305205
oct20402602031330
94012605486372
101134241002200
113a8035526819
121639a7024a48
1382c5c9a3b17
143cc7cc7ccac
151e786aa80d5
hex108160832d8

1134241002200 has 96 divisors (see below), whose sum is σ = 2649616976160. Its totient is φ = 451546982400.

The previous prime is 1134241002161. The next prime is 1134241002221. The reversal of 1134241002200 is 22001424311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95092637 + ... + 95104563.

It is an arithmetic number, because the mean of its divisors is an integer number (27600176835).

Almost surely, 21134241002200 is an apocalyptic number.

1134241002200 is a gapful number since it is divisible by the number (10) 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 1134241002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324808488080).

1134241002200 is an abundant number, since it is smaller than the sum of its proper divisors (1515375973960).

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

1134241002200 is a wasteful number, since it uses less digits than its factorization.

1134241002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14157 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1134241002200 its reverse (22001424311), we get a palindrome (1156242426511).

The spelling of 1134241002200 in words is "one trillion, one hundred thirty-four billion, two hundred forty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 1973 2410 3946 4820 6025 7892 9640 9865 11927 12050 15784 19730 23854 24100 39460 47708 48200 49325 59635 78920 95416 98650 119270 197300 238540 298175 394600 475493 477080 596350 950986 1192700 1901972 2377465 2385400 2874407 3803944 4754930 5748814 9509860 11497628 11887325 14372035 19019720 22995256 23531971 23774650 28744070 47063942 47549300 57488140 71860175 94127884 95098600 114976280 117659855 143720350 188255768 235319710 287440700 470639420 574881400 588299275 941278840 1176598550 2353197100 4706394200 5671205011 11342410022 22684820044 28356025055 45369640088 56712050110 113424100220 141780125275 226848200440 283560250550 567120501100 1134241002200