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1132011101000 = 235313107813811
BaseRepresentation
bin10000011110010001000…
…111101001101101001000
311000012220210121012001002
4100132101013221231020
5122021324320213000
62224012210314132
7144533201411423
oct20362107515510
94005823535032
101132011101000
113a70a0833a6a
12163484288948
1382995a03460
143cb0aa5a9ba
151e6a5e318d5
hex107911e9b48

1132011101000 has 128 divisors (see below), whose sum is σ = 2879331960960. Its totient is φ = 414066528000.

The previous prime is 1132011100991. The next prime is 1132011101069. The reversal of 1132011101000 is 1011102311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984095 + ... + 1797905.

It is an arithmetic number, because the mean of its divisors is an integer number (22494780945).

Almost surely, 21132011101000 is an apocalyptic number.

1132011101000 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 1132011101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439665980480).

1132011101000 is an abundant number, since it is smaller than the sum of its proper divisors (1747320859960).

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

1132011101000 is a wasteful number, since it uses less digits than its factorization.

1132011101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813952 (or 813938 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1132011101000 its reverse (1011102311), we get a palindrome (1133022203311).

The spelling of 1132011101000 in words is "one trillion, one hundred thirty-two billion, eleven million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 107 125 130 200 214 250 260 325 428 500 520 535 650 856 1000 1070 1300 1391 1625 2140 2600 2675 2782 3250 4280 5350 5564 6500 6955 10700 11128 13000 13375 13910 21400 26750 27820 34775 53500 55640 69550 107000 139100 173875 278200 347750 695500 813811 1391000 1627622 3255244 4069055 6510488 8138110 10579543 16276220 20345275 21159086 32552440 40690550 42318172 52897715 81381100 84636344 87077777 101726375 105795430 162762200 174155554 203452750 211590860 264488575 348311108 406905500 423181720 435388885 528977150 696622216 813811000 870777770 1057954300 1132011101 1322442875 1741555540 2115908600 2176944425 2264022202 2644885750 3483111080 4353888850 4528044404 5289771500 5660055505 8707777700 9056088808 10579543000 10884722125 11320111010 17415555400 21769444250 22640222020 28300277525 43538888500 45280444040 56600555050 87077777000 113201110100 141501387625 226402220200 283002775250 566005550500 1132011101000