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1132022032100 = 2252171368148673
BaseRepresentation
bin10000011110010001110…
…001010110011011100100
311000012221120011112200122
4100132101301112123210
5122021340120011400
62224013240501112
7144533363336501
oct20362161263344
94005846145618
101132022032100
113a70a6a1a733
12163487a7a798
138299805ca6b
143cb0c2a44a8
151e6a6d90685
hex10791c566e4

1132022032100 has 72 divisors (see below), whose sum is σ = 2601230651208. Its totient is φ = 426133094400.

The previous prime is 1132022032073. The next prime is 1132022032111. The reversal of 1132022032100 is 12302202311.

It can be written as a sum of positive squares in 12 ways, for example, as 201256315456 + 930765716644 = 448616^2 + 964762^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 23 ways as a sum of consecutive naturals, for example, 23233364 + ... + 23282036.

It is an arithmetic number, because the mean of its divisors is an integer number (36128203489).

Almost surely, 21132022032100 is an apocalyptic number.

1132022032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132022032100 is an abundant number, since it is smaller than the sum of its proper divisors (1469208619108).

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

1132022032100 is a wasteful number, since it uses less digits than its factorization.

1132022032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62385 (or 62378 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1132022032100 its reverse (12302202311), we get a palindrome (1144324234411).

The spelling of 1132022032100 in words is "one trillion, one hundred thirty-two billion, twenty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13681 27362 48673 54724 68405 97346 136810 194692 232577 243365 273620 342025 465154 486730 684050 827441 930308 973460 1162885 1216825 1368100 1654882 2325770 2433650 3309764 4137205 4651540 4867300 5814425 8274410 11628850 16548820 20686025 23257700 41372050 82744100 665895313 1331790626 2663581252 3329476565 6658953130 11320220321 13317906260 16647382825 22640440642 33294765650 45280881284 56601101605 66589531300 113202203210 226404406420 283005508025 566011016050 1132022032100