Search a number
-
+
1120213130130 = 234529107445691
BaseRepresentation
bin10000010011010001111…
…001111101101110010010
310222002110120122011120000
4100103101321331232102
5121323144030131010
62214341355030430
7143634632333043
oct20232171755622
93862416564500
101120213130130
113a2097120916
1216113113b416
13818356866c3
143c30bbcc8ca
151e2152bb7c0
hex104d1e7db92

1120213130130 has 160 divisors (see below), whose sum is σ = 3145123650240. Its totient is φ = 285726510720.

The previous prime is 1120213130107. The next prime is 1120213130161. The reversal of 1120213130130 is 310313120211.

1120213130130 is a `hidden beast` number, since 1 + 1 + 202 + 131 + 301 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2290585 + ... + 2736275.

It is an arithmetic number, because the mean of its divisors is an integer number (19657022814).

Almost surely, 21120213130130 is an apocalyptic number.

1120213130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120213130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572561825120).

1120213130130 is an abundant number, since it is smaller than the sum of its proper divisors (2024910520110).

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

1120213130130 is a wasteful number, since it uses less digits than its factorization.

1120213130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445846 (or 445837 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1120213130130 its reverse (310313120211), we get a palindrome (1430526250341).

The spelling of 1120213130130 in words is "one trillion, one hundred twenty billion, two hundred thirteen million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 107 135 145 162 174 214 261 270 290 321 405 435 522 535 642 783 810 870 963 1070 1305 1566 1605 1926 2349 2610 2889 3103 3210 3915 4698 4815 5778 6206 7830 8667 9309 9630 11745 14445 15515 17334 18618 23490 27927 28890 31030 43335 46545 55854 83781 86670 93090 139635 167562 251343 279270 418905 445691 502686 837810 891382 1256715 1337073 2228455 2513430 2674146 4011219 4456910 6685365 8022438 12033657 12925039 13370730 20056095 24067314 25850078 36100971 38775117 40112190 47688937 60168285 64625195 72201942 77550234 95377874 116325351 120336570 129250390 143066811 180504855 193875585 232650702 238444685 286133622 348976053 361009710 387751170 429200433 476889370 581626755 697952106 715334055 858400866 1046928159 1163253510 1287601299 1382979173 1430668110 1744880265 2093856318 2146002165 2575202598 2765958346 3489760530 3862803897 4148937519 4292004330 5234640795 6438006495 6914895865 7725607794 8297875038 10469281590 12446812557 12876012990 13829791730 19314019485 20744687595 24893625114 37340437671 38628038970 41489375190 62234062785 74680875342 112021313013 124468125570 186702188355 224042626026 373404376710 560106565065 1120213130130