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23320313110120 = 23513614211746301
BaseRepresentation
bin1010100110101101011101…
…11110101001111001101000
310001120101210201100201102211
411103112232332221321220
511024040000124010440
6121333112015134504
74624560045546625
oct523265676517150
9101511721321384
1023320313110120
1174810a8878324
122747771814434
131002133158310
145a89cdda534c
152a6935252eea
hex1535aefa9e68

23320313110120 has 128 divisors (see below), whose sum is σ = 57569709365280. Its totient is φ = 8449297920000.

The previous prime is 23320313110093. The next prime is 23320313110147. The reversal of 23320313110120 is 2101131302332.

It is an interprime number because it is at equal distance from previous prime (23320313110093) and next prime (23320313110147).

It can be written as a sum of positive squares in 16 ways, for example, as 8681379030724 + 14638934079396 = 2946418^2 + 3826086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23320313110091 and 23320313110100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12480970 + ... + 14227270.

Almost surely, 223320313110120 is an apocalyptic number.

23320313110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320313110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28784854682640).

23320313110120 is an abundant number, since it is smaller than the sum of its proper divisors (34249396255160).

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

23320313110120 is a wasteful number, since it uses less digits than its factorization.

23320313110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746807 (or 1746803 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 23320313110120 its reverse (2101131302332), we get a palindrome (25421444412452).

The spelling of 23320313110120 in words is "twenty-three trillion, three hundred twenty billion, three hundred thirteen million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 421 488 520 610 793 842 1220 1586 1684 2105 2440 3172 3368 3965 4210 5473 6344 7930 8420 10946 15860 16840 21892 25681 27365 31720 43784 51362 54730 102724 109460 128405 205448 218920 256810 333853 513620 667706 1027240 1335412 1669265 1746301 2670824 3338530 3492602 6677060 6985204 8731505 13354120 13970408 17463010 22701913 34926020 45403826 69852040 90807652 106524361 113509565 181615304 213048722 227019130 426097444 454038260 532621805 735192721 852194888 908076520 1065243610 1384816693 1470385442 2130487220 2769633386 2940770884 3675963605 4260974440 5539266772 5881541768 6924083465 7351927210 9557505373 11078533544 13848166930 14703854420 19115010746 27696333860 29407708840 38230021492 44846755981 47787526865 55392667720 76460042984 89693511962 95575053730 179387023924 191150107460 224233779905 358774047848 382300214920 448467559810 583007827753 896935119620 1166015655506 1793870239240 2332031311012 2915039138765 4664062622024 5830078277530 11660156555060 23320313110120