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1131210120 = 233597157619
BaseRepresentation
bin100001101101100…
…1110010110001000
32220211120102120010
41003123032112020
54304042210440
6304125431520
740014061455
oct10333162610
92824512503
101131210120
115305a19a7
12276a0b5a0
1315048a701
14aa34482c
156949d580
hex436ce588

1131210120 has 128 divisors (see below), whose sum is σ = 3456028800. Its totient is φ = 296165376.

The previous prime is 1131210103. The next prime is 1131210133. The reversal of 1131210120 is 210121311.

1131210120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1131210096 and 1131210105.

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, 1827171 + ... + 1827789.

It is an arithmetic number, because the mean of its divisors is an integer number (27000225).

Almost surely, 21131210120 is an apocalyptic number.

1131210120 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 1131210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728014400).

1131210120 is an abundant number, since it is smaller than the sum of its proper divisors (2324818680).

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

1131210120 is a wasteful number, since it uses less digits than its factorization.

1131210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131210120 is about 33633.4672610482. The cubic root of 1131210120 is about 1041.9521150797.

Adding to 1131210120 its reverse (210121311), we get a palindrome (1341331431).

The spelling of 1131210120 in words is "one billion, one hundred thirty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 157 194 291 314 388 471 485 582 619 628 776 785 942 970 1164 1238 1256 1455 1570 1857 1884 1940 2328 2355 2476 2910 3095 3140 3714 3768 3880 4710 4952 5820 6190 6280 7428 9285 9420 11640 12380 14856 15229 18570 18840 24760 30458 37140 45687 60043 60916 74280 76145 91374 97183 120086 121832 152290 180129 182748 194366 228435 240172 291549 300215 304580 360258 365496 388732 456870 480344 485915 583098 600430 609160 720516 777464 900645 913740 971830 1166196 1200860 1441032 1457745 1801290 1827480 1943660 2332392 2401720 2915490 3602580 3887320 5830980 7205160 9426751 11661960 18853502 28280253 37707004 47133755 56560506 75414008 94267510 113121012 141401265 188535020 226242024 282802530 377070040 565605060 1131210120