Search a number
-
+
1130534550120 = 2335172741202183
BaseRepresentation
bin10000011100111001000…
…111000011101001101000
311000002002220012122000110
4100130321013003221220
5122010313321100440
62223205502534320
7144451462056363
oct20347107035150
94002086178013
101130534550120
113a650330a488
121631318973a0
13827bbb31501
143ca0a8dd0da
151e61b4ba080
hex107391c3a68

1130534550120 has 128 divisors (see below), whose sum is σ = 3592437661440. Its totient is φ = 283637084160.

The previous prime is 1130534550091. The next prime is 1130534550121. The reversal of 1130534550120 is 210554350311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1130534550121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5490549 + ... + 5692731.

It is an arithmetic number, because the mean of its divisors is an integer number (28065919230).

Almost surely, 21130534550120 is an apocalyptic number.

1130534550120 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 1130534550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796218830720).

1130534550120 is an abundant number, since it is smaller than the sum of its proper divisors (2461903111320).

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

1130534550120 is a wasteful number, since it uses less digits than its factorization.

1130534550120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204955 (or 204951 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1130534550120 in words is "one trillion, one hundred thirty billion, five hundred thirty-four million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2741 5482 8223 10964 13705 16446 21928 27410 32892 41115 46597 54820 65784 82230 93194 109640 139791 164460 186388 202183 232985 279582 328920 372776 404366 465970 559164 606549 698955 808732 931940 1010915 1118328 1213098 1397910 1617464 1863880 2021830 2426196 2795820 3032745 3437111 4043660 4852392 5591640 6065490 6874222 8087320 10311333 12130980 13748444 17185555 20622666 24261960 27496888 34371110 41245332 51556665 68742220 82490664 103113330 137484440 206226660 412453320 554183603 1108367206 1662550809 2216734412 2770918015 3325101618 4433468824 5541836030 6650203236 8312754045 9421121251 11083672060 13300406472 16625508090 18842242502 22167344120 28263363753 33251016180 37684485004 47105606255 56526727506 66502032360 75368970008 94211212510 113053455012 141316818765 188422425020 226106910024 282633637530 376844850040 565267275060 1130534550120