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20330233111032 = 23313691793311887
BaseRepresentation
bin1001001111101100000000…
…10100101010000111111000
32122222112212220022200222220
410213312000110222013320
510131042304134023112
6111123325151444040
74165545062114145
oct447660024520770
978875786280886
1020330233111032
116529004646109
122344175b26620
13b46195885a50
14503dba7693cc
15253c8186898c
hex127d8052a1f8

20330233111032 has 128 divisors (see below), whose sum is σ = 54825976181760. Its totient is φ = 6245090772480.

The previous prime is 20330233111031. The next prime is 20330233111063. The reversal of 20330233111032 is 23011133203302.

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

It is a junction number, because it is equal to n+sod(n) for n = 20330233110993 and 20330233111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330233111031) 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, 1710285393 + ... + 1710297279.

It is an arithmetic number, because the mean of its divisors is an integer number (428327938920).

Almost surely, 220330233111032 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 20330233111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412988090880).

20330233111032 is an abundant number, since it is smaller than the sum of its proper divisors (34495743070728).

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

20330233111032 is a wasteful number, since it uses less digits than its factorization.

20330233111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20533 (or 20529 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 20330233111032 its reverse (23011133203302), we get a palindrome (43341366314334).

The spelling of 20330233111032 in words is "twenty trillion, three hundred thirty billion, two hundred thirty-three million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 691 1382 2073 2764 4146 5528 7933 8292 8983 11887 15866 16584 17966 23774 23799 26949 31732 35661 35932 47548 47598 53898 63464 71322 71864 95096 95196 103129 107796 142644 154531 190392 206258 215592 285288 309062 309387 412516 463593 618124 618774 825032 927186 1236248 1237548 1854372 2475096 3708744 5481703 8213917 10963406 16427834 16445109 21926812 24641751 32855668 32890218 43853624 49283502 65711336 65780436 71262139 94299571 98567004 106780921 131560872 142524278 188599142 197134008 213561842 213786417 282898713 285048556 320342763 377198284 427123684 427572834 565797426 570097112 640685526 754396568 854247368 855145668 1131594852 1225894423 1281371052 1710291336 2263189704 2451788846 2562742104 3677683269 4903577692 7355366538 9807155384 14710733076 29421466152 65161003561 130322007122 195483010683 260644014244 390966021366 521288028488 781932042732 847093046293 1563864085464 1694186092586 2541279138879 3388372185172 5082558277758 6776744370344 10165116555516 20330233111032