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22312121113320 = 23353736187138869
BaseRepresentation
bin1010001001010111100100…
…00011011001101011101000
32221000000111002020201221220
411010223302003121223220
510411030211001111240
6115242014045502040
74461666106145163
oct504536203315350
987000432221856
1022312121113320
117122576768a45
1226042a4271920
13c5b0409350bc
14571cab996ada
1528a5c97185d0
hex144af20d9ae8

22312121113320 has 128 divisors (see below), whose sum is σ = 68747849020800. Its totient is φ = 5788889220096.

The previous prime is 22312121113301. The next prime is 22312121113369. The reversal of 22312121113320 is 2331112121322.

It is a super-3 number, since 3×223121211133203 (a number of 41 digits) contains 333 as substring.

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

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, 160600846 + ... + 160739714.

It is an arithmetic number, because the mean of its divisors is an integer number (537092570475).

Almost surely, 222312121113320 is an apocalyptic number.

22312121113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312121113320 is an abundant number, since it is smaller than the sum of its proper divisors (46435727907480).

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

22312121113320 is a wasteful number, since it uses less digits than its factorization.

22312121113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175107 (or 175103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22312121113320 its reverse (2331112121322), we get a palindrome (24643233234642).

The spelling of 22312121113320 in words is "twenty-two trillion, three hundred twelve billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 36187 72374 108561 138869 144748 180935 217122 277738 289496 361870 416607 434244 542805 555476 694345 723740 833214 868488 1085610 1110952 1338919 1388690 1447480 1666428 2083035 2171220 2677838 2777380 3332856 4016757 4166070 4342440 5138153 5355676 5554760 6694595 8033514 8332140 10276306 10711352 13389190 15414459 16067028 16664280 20083785 20552612 25690765 26778380 30828918 32134056 40167570 41105224 51381530 53556760 61657836 77072295 80335140 102763060 123315672 154144590 160670280 205526120 308289180 616578360 5025252503 10050505006 15075757509 20101010012 25126262515 30151515018 40202020024 50252525030 60303030036 75378787545 100505050060 120606060072 150757575090 185934342611 201010100120 301515150180 371868685222 557803027833 603030300360 743737370444 929671713055 1115606055666 1487474740888 1859343426110 2231212111332 2789015139165 3718686852220 4462424222664 5578030278330 7437373704440 11156060556660 22312121113320