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20211312000330 = 232511131155843257
BaseRepresentation
bin1001001100001110100000…
…00100100111110101001010
32122120011221002021100101100
410212013100010213311022
510122120231333002310
6110552540515402230
74154135103261453
oct446072004476512
978504832240340
1020211312000330
116492629797540
1223251075b3376
13b37bc306a519
144dc33882812a
15250b21478ec0
hex1261d0127d4a

20211312000330 has 96 divisors (see below), whose sum is σ = 57764238637248. Its totient is φ = 4862309587200.

The previous prime is 20211312000329. The next prime is 20211312000337. The reversal of 20211312000330 is 3300021311202.

20211312000330 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 131 + 200 + 0 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20211312000337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77791939 + ... + 78051318.

It is an arithmetic number, because the mean of its divisors is an integer number (601710819138).

Almost surely, 220211312000330 is an apocalyptic number.

20211312000330 is an abundant number, since it is smaller than the sum of its proper divisors (37552926636918).

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

20211312000330 is a wasteful number, since it uses less digits than its factorization.

20211312000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155843412 (or 155843409 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20211312000330 its reverse (3300021311202), we get a palindrome (23511333311532).

The spelling of 20211312000330 in words is "twenty trillion, two hundred eleven billion, three hundred twelve million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 131 165 198 262 330 393 495 655 786 990 1179 1310 1441 1965 2358 2882 3930 4323 5895 7205 8646 11790 12969 14410 21615 25938 43230 64845 129690 155843257 311686514 467529771 779216285 935059542 1402589313 1558432570 1714275827 2337648855 2805178626 3428551654 4675297710 5142827481 7012946565 8571379135 10285654962 14025893130 15428482443 17142758270 20415466667 25714137405 30856964886 40830933334 51428274810 61246400001 77142412215 102077333335 122492800002 154284824430 183739200003 204154666670 224570133337 306232000005 367478400006 449140266674 612464000010 673710400011 918696000015 1122850666685 1347420800022 1837392000030 2021131200033 2245701333370 3368552000055 4042262400066 6737104000110 10105656000165 20211312000330