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1131011022120 = 233573143433603
BaseRepresentation
bin10000011101010101100…
…000101001110100101000
311000010100002202220201120
4100131111200221310220
5122012302310201440
62223325043215240
7144466336031520
oct20352540516450
94003302686646
101131011022120
113a67282669a1
12163245377520
13828667693c5
143ca53ccc680
151e648236dd0
hex10755829d28

1131011022120 has 128 divisors (see below), whose sum is σ = 4002840944640. Its totient is φ = 250177547520.

The previous prime is 1131011022067. The next prime is 1131011022133. The reversal of 1131011022120 is 212201101311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131011022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21690762 + ... + 21742841.

It is an arithmetic number, because the mean of its divisors is an integer number (31272194880).

Almost surely, 21131011022120 is an apocalyptic number.

1131011022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131011022120 is an abundant number, since it is smaller than the sum of its proper divisors (2871829922520).

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

1131011022120 is a wasteful number, since it uses less digits than its factorization.

1131011022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43433655 (or 43433651 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1131011022120 its reverse (212201101311), we get a palindrome (1343212123431).

The spelling of 1131011022120 in words is "one trillion, one hundred thirty-one billion, eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 43433603 86867206 130300809 173734412 217168015 260601618 304035221 347468824 434336030 521203236 608070442 651504045 868672060 912105663 1042406472 1216140884 1303008090 1346441693 1520176105 1737344120 1824211326 2432281768 2606016180 2692883386 3040352210 3648422652 4039325079 4560528315 5212032360 5385766772 6080704420 6732208465 7296845304 8078650158 9121056630 9425091851 10771533544 12161408840 13464416930 16157300316 18242113260 18850183702 20196625395 26928833860 28275275553 32314600632 36484226520 37700367404 40393250790 47125459255 53857667720 56550551106 75400734808 80786501580 94250918510 113101102212 141376377765 161573003160 188501837020 226202204424 282752755530 377003674040 565505511060 1131011022120