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23301230033004 = 223721111233207961
BaseRepresentation
bin1010100110001001111011…
…00010011111100001101100
310001111120112210011221220220
411103010331202133201230
511023231404342024004
6121320234242411340
74623313126223400
oct523047542374154
9101446483157826
1023301230033004
117473aa598a010
122743b26960b50
1310003b1720a01
145a7add7a3100
152a61b9c57dd9
hex15313d89f86c

23301230033004 has 144 divisors (see below), whose sum is σ = 69057310363776. Its totient is φ = 6046876281600.

The previous prime is 23301230032981. The next prime is 23301230033027. The reversal of 23301230033004 is 40033003210332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23301230032981) and next prime (23301230033027).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5659584 + ... + 8867544.

It is an arithmetic number, because the mean of its divisors is an integer number (479564655304).

Almost surely, 223301230033004 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 23301230033004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34528655181888).

23301230033004 is an abundant number, since it is smaller than the sum of its proper divisors (45756080330772).

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

23301230033004 is a wasteful number, since it uses less digits than its factorization.

23301230033004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209116 (or 3209107 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23301230033004 its reverse (40033003210332), we get a palindrome (63334233243336).

The spelling of 23301230033004 in words is "twenty-three trillion, three hundred one billion, two hundred thirty million, thirty-three thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1123 1617 2156 2246 3234 3369 4492 6468 6738 7861 12353 13476 15722 23583 24706 31444 37059 47166 49412 55027 74118 86471 94332 110054 148236 165081 172942 220108 259413 330162 345884 518826 605297 660324 1037652 1210594 1815891 2421188 3207961 3631782 6415922 7263564 9623883 12831844 19247766 22455727 35287571 38495532 44911454 67367181 70575142 89822908 105862713 134734362 141150284 157190089 211725426 247012997 269468724 314380178 423450852 471570267 494025994 628760356 741038991 943140534 988051988 1482077982 1729090979 1886281068 2964155964 3458181958 3602540203 5187272937 6916363916 7205080406 10374545874 10807620609 14410160812 20749091748 21615241218 25217781421 39627942233 43230482436 50435562842 75653344263 79255884466 100871125684 118883826699 151306688526 158511768932 176524469947 237767653398 277395595631 302613377052 353048939894 475535306796 529573409841 554791191262 706097879788 832186786893 1059146819682 1109582382524 1664373573786 1941769169417 2118293639364 3328747147572 3883538338834 5825307508251 7767076677668 11650615016502 23301230033004