Search a number
-
+
1120420334000 = 245311502310139
BaseRepresentation
bin10000010011011110010…
…000011000100110110000
310222010000000112012211102
4100103132100120212300
5121324110101142000
62214414120103532
7143643026463002
oct20233620304660
93863000465742
101120420334000
113a2193084190
1216118a604ba8
1381869593946
143c32b528372
151e22859a3d5
hex104de4189b0

1120420334000 has 160 divisors (see below), whose sum is σ = 2956345067520. Its totient is φ = 407304288000.

The previous prime is 1120420333937. The next prime is 1120420334081. The reversal of 1120420334000 is 4330240211.

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

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, 110500931 + ... + 110511069.

It is an arithmetic number, because the mean of its divisors is an integer number (18477156672).

Almost surely, 21120420334000 is an apocalyptic number.

1120420334000 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 1120420334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478172533760).

1120420334000 is an abundant number, since it is smaller than the sum of its proper divisors (1835924733520).

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

1120420334000 is a wasteful number, since it uses less digits than its factorization.

1120420334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15196 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1120420334000 its reverse (4330240211), we get a palindrome (1124750574211).

The spelling of 1120420334000 in words is "one trillion, one hundred twenty billion, four hundred twenty million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5023 5500 10046 10139 11000 20092 20278 22000 25115 40184 40556 50230 50695 55253 80368 81112 100460 101390 110506 111529 125575 162224 200920 202780 221012 223058 251150 253475 276265 401840 405560 442024 446116 502300 506950 552530 557645 627875 811120 884048 892232 1004600 1013900 1105060 1115290 1255750 1267375 1381325 1784464 2009200 2027800 2210120 2230580 2511500 2534750 2762650 2788225 4055600 4420240 4461160 5023000 5069500 5525300 5576450 6906625 8922320 10046000 10139000 11050600 11152900 13813250 13941125 20278000 22101200 22305800 27626500 27882250 44611600 50928197 55253000 55764500 101856394 110506000 111529000 203712788 223058000 254640985 407425576 509281970 560210167 814851152 1018563940 1120420334 1273204925 2037127880 2240840668 2546409850 2801050835 4074255760 4481681336 5092819700 5602101670 6366024625 8963362672 10185639400 11204203340 12732049250 14005254175 20371278800 22408406680 25464098500 28010508350 44816813360 50928197000 56021016700 70026270875 101856394000 112042033400 140052541750 224084066800 280105083500 560210167000 1120420334000