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23203223311230 = 23257116097225581
BaseRepresentation
bin1010100011010011010111…
…11000100001001101111110
310001011012120112020122100200
411101221223320201031332
511020130200131424410
6121203225202304330
74613243334642564
oct521515370411576
9101135515218320
1023203223311230
11743648271a396
122728b346580a6
13cc4092b73c51
145a308336ba34
152a3880a043c0
hex151a6be2137e

23203223311230 has 96 divisors (see below), whose sum is σ = 61182147918528. Its totient is φ = 6099971942400.

The previous prime is 23203223311223. The next prime is 23203223311237. The reversal of 23203223311230 is 3211332230232.

23203223311230 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 322 + 3 + 311 + 23 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23203223311223) and next prime (23203223311237).

It is a super-2 number, since 2×232032233112302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23203223311194 and 23203223311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23203223311237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102747040 + ... + 102972620.

It is an arithmetic number, because the mean of its divisors is an integer number (637314040818).

Almost surely, 223203223311230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23203223311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30591073959264).

23203223311230 is an abundant number, since it is smaller than the sum of its proper divisors (37978924607298).

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

23203223311230 is a wasteful number, since it uses less digits than its factorization.

23203223311230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241762 (or 241759 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23203223311230 its reverse (3211332230232), we get a palindrome (26414555541462).

The spelling of 23203223311230 in words is "twenty-three trillion, two hundred three billion, two hundred twenty-three million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 16097 32194 48291 80485 96582 144873 160970 225581 241455 289746 451162 482910 676743 724365 1127905 1142887 1353486 1448730 2030229 2255810 2285774 3383715 3428661 4060458 5714435 6767430 6857322 10151145 10285983 11428870 16016251 17143305 20302290 20571966 32032502 34286610 48048753 51429915 80081255 96097506 102859830 144146259 160162510 240243765 288292518 480487530 720731295 1441462590 3631177357 7262354714 10893532071 18155886785 21787064142 32680596213 36311773570 54467660355 65361192426 108935320710 163402981065 257813592347 326805962130 515627184694 773440777041 1289067961735 1546881554082 2320322331123 2578135923470 3867203885205 4640644662246 7734407770410 11601611655615 23203223311230