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20331022233120 = 2535157259269341
BaseRepresentation
bin1001001111101101011110…
…10110111010111000100000
32122222121220220012020222220
410213312233112322320200
510131100413142424440
6111123535341231040
74165603453413504
oct447665726727040
978877826166886
1020331022233120
11652937a027225
122344356262480
13b462901ca5b1
145040534a2304
15253ccac928d0
hex127daf5bae20

20331022233120 has 96 divisors (see below), whose sum is σ = 64043365055040. Its totient is φ = 5421551324160.

The previous prime is 20331022233103. The next prime is 20331022233121. The reversal of 20331022233120 is 2133222013302.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (20331022233121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75349650 + ... + 75618990.

It is an arithmetic number, because the mean of its divisors is an integer number (667118385990).

Almost surely, 220331022233120 is an apocalyptic number.

20331022233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20331022233120 is an abundant number, since it is smaller than the sum of its proper divisors (43712342821920).

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

20331022233120 is a wasteful number, since it uses less digits than its factorization.

20331022233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426618 (or 426610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20331022233120 its reverse (2133222013302), we get a palindrome (22464244246422).

The spelling of 20331022233120 in words is "twenty trillion, three hundred thirty-one billion, twenty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 157259 269341 314518 471777 538682 629036 786295 808023 943554 1077364 1258072 1346705 1572590 1616046 1887108 2154728 2358885 2516144 2693410 3145180 3232092 3774216 4040115 4309456 4717770 5032288 5386820 6290360 6464184 7548432 8080230 8618912 9435540 10773640 12580720 12928368 15096864 16160460 18871080 21547280 25161440 25856736 32320920 37742160 43094560 64641840 75484320 129283680 42356296319 84712592638 127068888957 169425185276 211781481595 254137777914 338850370552 423562963190 508275555828 635344444785 677700741104 847125926380 1016551111656 1270688889570 1355401482208 1694251852760 2033102223312 2541377779140 3388503705520 4066204446624 5082755558280 6777007411040 10165511116560 20331022233120