Search a number
-
+
1120222122320 = 245717601195791
BaseRepresentation
bin10000010011010010011…
…100010001000101010000
310222002111012120000112002
4100103102130101011100
5121323203330403240
62214342315453132
7143635101634250
oct20232234210520
93862435500462
101120222122320
113a20a1202884
121611341571a8
13818374b4622
143c30d08d960
151e215e95d15
hex104d2711150

1120222122320 has 160 divisors (see below), whose sum is σ = 3156943942656. Its totient is φ = 360880128000.

The previous prime is 1120222122289. The next prime is 1120222122359. The reversal of 1120222122320 is 232212220211.

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 = 1120222122292 and 1120222122301.

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, 5623625 + ... + 5819415.

Almost surely, 21120222122320 is an apocalyptic number.

1120222122320 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 1120222122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578471971328).

1120222122320 is an abundant number, since it is smaller than the sum of its proper divisors (2036721820336).

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

1120222122320 is a wasteful number, since it uses less digits than its factorization.

1120222122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196429 (or 196423 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1120222122320 its reverse (232212220211), we get a palindrome (1352434342531).

The spelling of 1120222122320 in words is "one trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 601 680 952 1190 1202 1360 1904 2380 2404 3005 4207 4760 4808 6010 8414 9520 9616 10217 12020 16828 20434 21035 24040 33656 40868 42070 48080 51085 67312 71519 81736 84140 102170 143038 163472 168280 195791 204340 286076 336560 357595 391582 408680 572152 715190 783164 817360 978955 1144304 1370537 1430380 1566328 1957910 2741074 2860760 3132656 3328447 3915820 5482148 5721520 6656894 6852685 7831640 10964296 13313788 13705370 15663280 16642235 21928592 23299129 26627576 27410740 33284470 46598258 53255152 54821480 66568940 93196516 109642960 116495645 117670391 133137880 186393032 232991290 235340782 266275760 372786064 465982580 470681564 588351955 823692737 931965160 941363128 1176703910 1647385474 1863930320 1882726256 2000396647 2353407820 3294770948 4000793294 4118463685 4706815640 6589541896 8001586588 8236927370 9413631280 10001983235 13179083792 14002776529 16003173176 16473854740 20003966470 28005553058 32006346352 32947709480 40007932940 56011106116 65895418960 70013882645 80015865880 112022212232 140027765290 160031731760 224044424464 280055530580 560111061160 1120222122320