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1131322320200 = 235243831584929
BaseRepresentation
bin10000011101101000000…
…100001010010101001000
311000011010210112111102002
4100131220010022111020
5122013422003221300
62223420003330132
7144510136025222
oct20355004122510
94004123474362
101131322320200
113a6877a57836
12163311680948
13828b60c1857
143ca833a3412
151e6657285d5
hex1076810a548

1131322320200 has 96 divisors (see below), whose sum is σ = 2723924095200. Its totient is φ = 436679362560.

The previous prime is 1131322320169. The next prime is 1131322320223. The reversal of 1131322320200 is 20232231311.

It is a super-2 number, since 2×11313223202002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78665 + ... + 1506264.

It is an arithmetic number, because the mean of its divisors is an integer number (28374209325).

Almost surely, 21131322320200 is an apocalyptic number.

1131322320200 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 1131322320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361962047600).

1131322320200 is an abundant number, since it is smaller than the sum of its proper divisors (1592601775000).

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

1131322320200 is a wasteful number, since it uses less digits than its factorization.

1131322320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585071 (or 1585062 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1131322320200 its reverse (20232231311), we get a palindrome (1151554551511).

The spelling of 1131322320200 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 83 86 100 166 172 200 215 332 344 415 430 664 830 860 1075 1660 1720 2075 2150 3320 3569 4150 4300 7138 8300 8600 14276 16600 17845 28552 35690 71380 89225 142760 178450 356900 713800 1584929 3169858 6339716 7924645 12679432 15849290 31698580 39623225 63397160 68151947 79246450 131549107 136303894 158492900 263098214 272607788 316985800 340759735 526196428 545215576 657745535 681519470 1052392856 1315491070 1363038940 1703798675 2630982140 2726077880 3288727675 3407597350 5261964280 5656611601 6577455350 6815194700 11313223202 13154910700 13630389400 22626446404 26309821400 28283058005 45252892808 56566116010 113132232020 141415290025 226264464040 282830580050 565661160100 1131322320200