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20122330320 = 2432529999319
BaseRepresentation
bin10010101111011000…
…100110010011010000
31220221100201021220100
4102233120212103100
5312202304032240
613124415212400
71311435662031
oct225730462320
956840637810
1020122330320
118596592664
123a96b17100
131b88b39441
14d8c64aa88
157cb881e30
hex4af6264d0

20122330320 has 120 divisors (see below), whose sum is σ = 67607280000. Its totient is φ = 5363589888.

The previous prime is 20122330303. The next prime is 20122330339. The reversal of 20122330320 is 2303322102.

It is a happy number.

20122330320 is a `hidden beast` number, since 2 + 0 + 12 + 2 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20122330293 and 20122330302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2154621 + ... + 2163939.

It is an arithmetic number, because the mean of its divisors is an integer number (563394000).

Almost surely, 220122330320 is an apocalyptic number.

20122330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122330320 is an abundant number, since it is smaller than the sum of its proper divisors (47484949680).

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

20122330320 is a wasteful number, since it uses less digits than its factorization.

20122330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12337 (or 12328 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20122330320 its reverse (2303322102), we get a palindrome (22425652422).

It can be divided in two parts, 2012 and 2330320, that added together give a palindrome (2332332).

The spelling of 20122330320 in words is "twenty billion, one hundred twenty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2999 5998 8997 9319 11996 14995 17994 18638 23992 26991 27957 29990 35988 37276 44985 46595 47984 53982 55914 59980 71976 74552 83871 89970 93190 107964 111828 119960 134955 139785 143952 149104 167742 179940 186380 215928 223656 239920 269910 279570 335484 359880 372760 419355 431856 447312 539820 559140 670968 719760 745520 838710 1079640 1118280 1341936 1677420 2159280 2236560 3354840 6709680 27947681 55895362 83843043 111790724 139738405 167686086 223581448 251529129 279476810 335372172 419215215 447162896 503058258 558953620 670744344 838430430 1006116516 1117907240 1257645645 1341488688 1676860860 2012233032 2235814480 2515291290 3353721720 4024466064 5030582580 6707443440 10061165160 20122330320