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1131033320120 = 23511191283105449
BaseRepresentation
bin10000011101010110110…
…101101101101010111000
311000010101122201202211102
4100131112311231222320
5122012324012220440
62223331201150532
7144500026411334
oct20352665555270
94003348652742
101131033320120
113a67399067a0
1216325092b448
138286b2757a2
143ca56c547c4
151e64a18db15
hex10756d6dab8

1131033320120 has 128 divisors (see below), whose sum is σ = 2924592480000. Its totient is φ = 389330887680.

The previous prime is 1131033320117. The next prime is 1131033320149. The reversal of 1131033320120 is 210233301311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131033320092 and 1131033320101.

It is a congruent 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, 10673156 + ... + 10778604.

It is an arithmetic number, because the mean of its divisors is an integer number (22848378750).

Almost surely, 21131033320120 is an apocalyptic number.

1131033320120 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 1131033320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462296240000).

1131033320120 is an abundant number, since it is smaller than the sum of its proper divisors (1793559159880).

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

1131033320120 is a wasteful number, since it uses less digits than its factorization.

1131033320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106773 (or 106769 counting only the distinct ones).

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

Adding to 1131033320120 its reverse (210233301311), we get a palindrome (1341266621431).

The spelling of 1131033320120 in words is "one trillion, one hundred thirty-one billion, thirty-three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1283 1672 2090 2566 4180 5132 6415 8360 10264 12830 14113 24377 25660 28226 48754 51320 56452 70565 97508 105449 112904 121885 141130 195016 210898 243770 268147 282260 421796 487540 527245 536294 564520 843592 975080 1054490 1072588 1159939 1340735 2003531 2108980 2145176 2319878 2681470 4007062 4217960 4639756 5362940 5799695 8014124 9279512 10017655 10725880 11599390 16028248 20035310 22038841 23198780 40070620 44077682 46397560 80141240 88155364 110194205 135291067 176310728 220388410 270582134 440776820 541164268 676455335 881553640 1082328536 1352910670 1488201737 2570530273 2705821340 2976403474 5141060546 5411642680 5952806948 7441008685 10282121092 11905613896 12852651365 14882017370 20564242184 25705302730 28275833003 29764034740 51410605460 56551666006 59528069480 102821210920 113103332012 141379165015 226206664024 282758330030 565516660060 1131033320120