Search a number
-
+
23321431022010 = 23511672833727177
BaseRepresentation
bin1010100110101111100011…
…00111001001100110111010
310001120111200121220112020220
411103113301213021212322
511024044242320201020
6121333414552000510
74624626541624152
oct523276147114672
9101514617815226
1023321431022010
117481621907050
122747a24090136
13100228093ab44
145a8a98647762
152a699d476240
hex1535f19c99ba

23321431022010 has 128 divisors (see below), whose sum is σ = 62190081967104. Its totient is φ = 5549615976960.

The previous prime is 23321431021957. The next prime is 23321431022051. The reversal of 23321431022010 is 1022013412332.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4393542 + ... + 8120718.

It is an arithmetic number, because the mean of its divisors is an integer number (485860015368).

Almost surely, 223321431022010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23321431022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31095040983552).

23321431022010 is an abundant number, since it is smaller than the sum of its proper divisors (38868650945094).

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

23321431022010 is a wasteful number, since it uses less digits than its factorization.

23321431022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727548.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23321431022010 its reverse (1022013412332), we get a palindrome (24343444434342).

The spelling of 23321431022010 in words is "twenty-three trillion, three hundred twenty-one billion, four hundred thirty-one million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 283 330 335 402 566 670 737 849 1005 1415 1474 1698 2010 2211 2830 3113 3685 4245 4422 6226 7370 8490 9339 11055 15565 18678 18961 22110 31130 37922 46695 56883 93390 94805 113766 189610 208571 284415 417142 568830 625713 1042855 1251426 2085710 3128565 3727177 6257130 7454354 11181531 18635885 22363062 37271770 40998947 55907655 81997894 111815310 122996841 204994735 245993682 249720859 409989470 499441718 614984205 749162577 1054791091 1229968410 1248604295 1498325154 2109582182 2497208590 2746929449 3164373273 3745812885 5273955455 5493858898 6328746546 7491625770 8240788347 10547910910 11602702001 13734647245 15821866365 16481576694 23205404002 27469294490 31643732730 34808106003 41203941735 58013510005 69616212006 70671003097 82407883470 116027020010 141342006194 174040530015 212013009291 348081060030 353355015485 424026018582 706710030970 777381034067 1060065046455 1554762068134 2120130092910 2332143102201 3886905170335 4664286204402 7773810340670 11660715511005 23321431022010