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23330134411340 = 22543128937195659
BaseRepresentation
bin1010100110111111110000…
…10111111100100001001100
310001121100011011212111220212
411103133320113330201030
511024220103402130330
6121341414335501552
74625355323333111
oct523377027744114
9101540134774825
1023330134411340
117485288729299
1227496529878b8
131003039b08c63
145a92824cc908
152a6d0c5b3295
hex1537f85fc84c

23330134411340 has 96 divisors (see below), whose sum is σ = 50193912384000. Its totient is φ = 9103899796992.

The previous prime is 23330134411319. The next prime is 23330134411349. The reversal of 23330134411340 is 4311443103332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23330134411297 and 23330134411306.

It is not an unprimeable number, because it can be changed into a prime (23330134411349) 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, 4122657431 + ... + 4122663089.

It is an arithmetic number, because the mean of its divisors is an integer number (522853254000).

Almost surely, 223330134411340 is an apocalyptic number.

23330134411340 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 23330134411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096956192000).

23330134411340 is an abundant number, since it is smaller than the sum of its proper divisors (26863777972660).

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

23330134411340 is a wasteful number, since it uses less digits than its factorization.

23330134411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 23330134411340 its reverse (4311443103332), we get a palindrome (27641577514672).

The spelling of 23330134411340 in words is "twenty-three trillion, three hundred thirty billion, one hundred thirty-four million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1289 2578 3719 5156 5659 6445 7438 11318 12890 14876 18595 22636 25780 28295 37190 55427 56590 74380 110854 113180 159917 221708 243337 277135 319834 486674 554270 639668 799585 973348 1108540 1216685 1599170 2433370 3198340 4793791 4866740 7294451 9587582 14588902 19175164 21045821 23968955 29177804 36472255 42091642 47937910 72944510 84183284 95875820 105229105 145889020 206133013 210458210 313661393 412266026 420916420 627322786 824532052 904970303 1030665065 1254645572 1568306965 1809940606 2061330130 3136613930 3619881212 4122660260 4524851515 6273227860 9049703030 18099406060 27128063269 54256126538 108512253076 135640316345 271280632690 542561265380 1166506720567 2333013441134 4666026882268 5832533602835 11665067205670 23330134411340