Search a number
-
+
23323120311120 = 2435792914943821
BaseRepresentation
bin1010100110110010101100…
…10011010001101101010000
310001120200001100121022021020
411103121112103101231100
511024111222244423440
6121334254335155440
74625016443426250
oct523312623215520
9101520040538236
1023323120311120
117482309423a53
122748215975b80
13100248c9070b6
145a8bb8b41960
152a6a4b9113d0
hex1536564d1b50

23323120311120 has 160 divisors (see below), whose sum is σ = 82719434545920. Its totient is φ = 5325260144640.

The previous prime is 23323120311109. The next prime is 23323120311137. The reversal of 23323120311120 is 2111302132332.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5911191 + ... + 9032630.

It is an arithmetic number, because the mean of its divisors is an integer number (516996465912).

Almost surely, 223323120311120 is an apocalyptic number.

23323120311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23323120311120 is an abundant number, since it is smaller than the sum of its proper divisors (59396314234800).

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

23323120311120 is a wasteful number, since it uses less digits than its factorization.

23323120311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14944773 (or 14944767 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 23323120311120 its reverse (2111302132332), we get a palindrome (25434422443452).

The spelling of 23323120311120 in words is "twenty-three trillion, three hundred twenty-three billion, one hundred twenty million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 929 1680 1858 2787 3716 4645 5574 6503 7432 9290 11148 13006 13935 14864 18580 19509 22296 26012 27870 32515 37160 39018 44592 52024 55740 65030 74320 78036 97545 104048 111480 130060 156072 195090 222960 260120 312144 390180 520240 780360 1560720 14943821 29887642 44831463 59775284 74719105 89662926 104606747 119550568 149438210 179325852 209213494 224157315 239101136 298876420 313820241 358651704 418426988 448314630 523033735 597752840 627640482 717303408 836853976 896629260 1046067470 1195505680 1255280964 1569101205 1673707952 1793258520 2092134940 2510561928 3138202410 3586517040 4184269880 5021123856 6276404820 8368539760 12552809640 13882809709 25105619280 27765619418 41648429127 55531238836 69414048545 83296858254 97179667963 111062477672 138828097090 166593716508 194359335926 208242145635 222124955344 277656194180 291539003889 333187433016 388718671852 416484291270 485898339815 555312388360 583078007778 666374866032 777437343704 832968582540 971796679630 1110624776720 1166156015556 1457695019445 1554874687408 1665937165080 1943593359260 2332312031112 2915390038890 3331874330160 3887186718520 4664624062224 5830780077780 7774373437040 11661560155560 23323120311120