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1133031132200 = 2352112729188719
BaseRepresentation
bin10000011111001101111…
…010110000110000101000
311000022112212222010210102
4100133031322300300220
5122030421432212300
62224301325204532
7144600365501342
oct20371572606050
94008485863712
101133031132200
113a7574599560
12163709a00748
1382ac9135006
143cba6300292
151e71576d0d5
hex107cdeb0c28

1133031132200 has 96 divisors (see below), whose sum is σ = 2874847248000. Its totient is φ = 411858163200.

The previous prime is 1133031132187. The next prime is 1133031132209. The reversal of 1133031132200 is 22311303311.

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

It is not an unprimeable number, because it can be changed into a prime (1133031132209) 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 23 ways as a sum of consecutive naturals, for example, 5909441 + ... + 6098159.

It is an arithmetic number, because the mean of its divisors is an integer number (29946325500).

Almost surely, 21133031132200 is an apocalyptic number.

1133031132200 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 1133031132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437423624000).

1133031132200 is an abundant number, since it is smaller than the sum of its proper divisors (1741816115800).

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

1133031132200 is a wasteful number, since it uses less digits than its factorization.

1133031132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191475 (or 191466 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1133031132200 its reverse (22311303311), we get a palindrome (1155342435511).

The spelling of 1133031132200 in words is "one trillion, one hundred thirty-three billion, thirty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2729 5458 10916 13645 21832 27290 30019 54580 60038 68225 109160 120076 136450 150095 188719 240152 272900 300190 377438 545800 600380 750475 754876 943595 1200760 1500950 1509752 1887190 2075909 3001900 3774380 4151818 4717975 6003800 7548760 8303636 9435950 10379545 16607272 18871900 20759090 37743800 41518180 51897725 83036360 103795450 207590900 415181800 515014151 1030028302 2060056604 2575070755 4120113208 5150141510 5665155661 10300283020 11330311322 12875353775 20600566040 22660622644 25750707550 28325778305 45321245288 51501415100 56651556610 103002830200 113303113220 141628891525 226606226440 283257783050 566515566100 1133031132200