Search a number
-
+
1122030322320 = 243553702712553
BaseRepresentation
bin10000010100111110001…
…110000000001010010000
310222021011020000002121110
4100110332032000022100
5121340404230303240
62215241551453320
7144030646243335
oct20247616001220
93867136002543
101122030322320
113a2939958246
12161559827240
1381a64cb5b5b
143c44129c98c
151e2beabdc80
hex1053e380290

1122030322320 has 160 divisors (see below), whose sum is σ = 3544708874112. Its totient is φ = 293497491456.

The previous prime is 1122030322289. The next prime is 1122030322393. The reversal of 1122030322320 is 232230302211.

It is a happy 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, 89377164 + ... + 89389716.

Almost surely, 21122030322320 is an apocalyptic number.

1122030322320 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 1122030322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772354437056).

1122030322320 is an abundant number, since it is smaller than the sum of its proper divisors (2422678551792).

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

1122030322320 is a wasteful number, since it uses less digits than its factorization.

1122030322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19649 (or 19643 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1122030322320 its reverse (232230302211), we get a palindrome (1354260624531).

The spelling of 1122030322320 in words is "one trillion, one hundred twenty-two billion, thirty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 7027 12553 12720 14054 21081 25106 28108 35135 37659 42162 50212 56216 62765 70270 75318 84324 100424 105405 112432 125530 140540 150636 168648 188295 200848 210810 251060 281080 301272 337296 372431 376590 421620 502120 562160 602544 665309 744862 753180 843240 1004240 1117293 1330618 1489724 1506360 1686480 1862155 1995927 2234586 2661236 2979448 3012720 3326545 3724310 3991854 4469172 5322472 5586465 5958896 6653090 7448620 7983708 8938344 9979635 10644944 11172930 13306180 14897240 15967416 17876688 19959270 22345860 26612360 29794480 31934832 39918540 44691720 53224720 79837080 88209931 89383440 159674160 176419862 264629793 352839724 441049655 529259586 705679448 882099310 1058519172 1323148965 1411358896 1764198620 2117038344 2646297930 3528397240 4234076688 4675126343 5292595860 7056794480 9350252686 10585191720 14025379029 18700505372 21170383440 23375631715 28050758058 37401010744 46751263430 56101516116 70126895145 74802021488 93502526860 112203032232 140253790290 187005053720 224406064464 280507580580 374010107440 561015161160 1122030322320