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20332112311332 = 22332572036935963
BaseRepresentation
bin1001001111101111100000…
…10101001111010000100100
32122222201201212100222012000
410213313300111033100210
510131110131222430312
6111124235441325300
74165642461054213
oct447676025172044
978881655328160
1020332112311332
116529889385108
1223445bb336830
13b46404cb61a3
1450411817b07a
15253d41818adc
hex127df054f424

20332112311332 has 96 divisors (see below), whose sum is σ = 52922061763200. Its totient is φ = 6750480531456.

The previous prime is 20332112311327. The next prime is 20332112311337. The reversal of 20332112311332 is 23311321123302.

20332112311332 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 2 + 1 + 12 + 311 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (20332112311327) and next prime (20332112311337).

It is a super-2 number, since 2×203321123113322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20332112311296 and 20332112311305.

It is not an unprimeable number, because it can be changed into a prime (20332112311337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565343983 + ... + 565379945.

It is an arithmetic number, because the mean of its divisors is an integer number (551271476700).

Almost surely, 220332112311332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332112311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26461030881600).

20332112311332 is an abundant number, since it is smaller than the sum of its proper divisors (32589949451868).

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

20332112311332 is a wasteful number, since it uses less digits than its factorization.

20332112311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56602 (or 56594 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20332112311332 its reverse (23311321123302), we get a palindrome (43643433434634).

The spelling of 20332112311332 in words is "twenty trillion, three hundred thirty-two billion, one hundred twelve million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 9252 13878 20369 27756 35963 40738 61107 71926 81476 107889 122214 143852 183321 215778 244428 323667 366642 431556 549963 647334 733284 971001 1099926 1294668 1942002 2199852 3884004 5234833 9242491 10469666 15704499 18484982 20939332 27727473 31408998 36969964 47113497 55454946 62817996 83182419 94226994 110909892 141340491 166364838 188453988 249547257 282680982 332729676 499094514 565361964 732530347 998189028 1465060694 2197591041 2930121388 4395182082 6592773123 8790364164 13185546246 19778319369 26371092492 39556638738 79113277476 188260299179 376520598358 564780897537 753041196716 1129561795074 1694342692611 2259123590148 3388685385222 5083028077833 6777370770444 10166056155666 20332112311332