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23113433242000 = 245353241904777
BaseRepresentation
bin1010100000101100000111…
…11110100101100110010000
310000211121210220101112010001
411100112003332211212100
511012142302402221000
6121054055321415344
74603614264644233
oct520260376454620
9100747726345101
1023113433242000
117401396554402
12271365603a554
13cb87836a517a
1459c9a62b941a
152a1377ce446a
hex150583fa5990

23113433242000 has 160 divisors (see below), whose sum is σ = 57179117739744. Its totient is φ = 9033283584000.

The previous prime is 23113433241971. The next prime is 23113433242021. The reversal of 23113433242000 is 24233431132.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18858487428496 + 4254945813504 = 4342636^2 + 2062752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23113433242000.

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, 25093612 + ... + 25998388.

Almost surely, 223113433242000 is an apocalyptic number.

23113433242000 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 23113433242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28589558869872).

23113433242000 is an abundant number, since it is smaller than the sum of its proper divisors (34065684497744).

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

23113433242000 is a wasteful number, since it uses less digits than its factorization.

23113433242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905094 (or 905078 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 23113433242000 its reverse (24233431132), we get a palindrome (23137666673132).

The spelling of 23113433242000 in words is "twenty-three trillion, one hundred thirteen billion, four hundred thirty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 241 250 265 400 424 482 500 530 848 964 1000 1060 1205 1325 1928 2000 2120 2410 2650 3856 4240 4820 5300 6025 6625 9640 10600 12050 12773 13250 19280 21200 24100 25546 26500 30125 48200 51092 53000 60250 63865 96400 102184 106000 120500 127730 204368 241000 255460 319325 482000 510920 638650 904777 1021840 1277300 1596625 1809554 2554600 3193250 3619108 4523885 5109200 6386500 7238216 9047770 12773000 14476432 18095540 22619425 25546000 36191080 45238850 47953181 72382160 90477700 95906362 113097125 180955400 191812724 218051257 226194250 239765905 361910800 383625448 436102514 452388500 479531810 767250896 872205028 904777000 959063620 1090256285 1198829525 1744410056 1809554000 1918127240 2180512570 2397659050 3488820112 3836254480 4361025140 4795318100 5451281425 5994147625 8722050280 9590636200 10902562850 11556716621 11988295250 17444100560 19181272400 21805125700 23113433242 23976590500 27256407125 43610251400 46226866484 47953181000 54512814250 57783583105 87220502800 92453732968 95906362000 109025628500 115567166210 184907465936 218051257000 231134332420 288917915525 436102514000 462268664840 577835831050 924537329680 1155671662100 1444589577625 2311343324200 2889179155250 4622686648400 5778358310500 11556716621000 23113433242000