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111525430407342 = 23717289103237331
BaseRepresentation
bin11001010110111010001001…
…101010011011000010101110
3112121212201121222222110112020
4121112322021222123002232
5104104213040141013332
61033110024143251010
732330306063164440
oct3126721152330256
9477781558873466
10111525430407342
1132598740003a56
1210612460ba9a66
134a2ca5914b073
141d77c06b92490
15cd607444c82c
hex656e89a9b0ae

111525430407342 has 96 divisors (see below), whose sum is σ = 273834958383360. Its totient is φ = 29653064770560.

The previous prime is 111525430407329. The next prime is 111525430407367. The reversal of 111525430407342 is 243704034525111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 111525430407294 and 111525430407303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50538384 + ... + 52698947.

It is an arithmetic number, because the mean of its divisors is an integer number (2852447483160).

Almost surely, 2111525430407342 is an apocalyptic number.

111525430407342 is an abundant number, since it is smaller than the sum of its proper divisors (162309527976018).

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

111525430407342 is a wasteful number, since it uses less digits than its factorization.

111525430407342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103237466 (or 103237449 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 111525430407342 in words is "one hundred eleven trillion, five hundred twenty-five billion, four hundred thirty million, four hundred seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 89 102 119 178 238 267 289 357 534 578 623 714 867 1246 1513 1734 1869 2023 3026 3738 4046 4539 6069 9078 10591 12138 21182 25721 31773 51442 63546 77163 154326 180047 360094 540141 1080282 103237331 206474662 309711993 619423986 722661317 1445322634 1755034627 2167983951 3510069254 4335967902 5265103881 9188122459 10530207762 12285242389 18376244918 24570484778 27564367377 29835588659 36855727167 55128734754 59671177318 64316857213 73711454334 89506765977 128633714426 156198081803 179013531954 192950571639 208849120613 312396163606 385901143278 417698241226 468594245409 626547361839 937188490818 1093386572621 1253094723678 2186773145242 2655367390651 3280159717863 5310734781302 6560319435726 7966102171953 15932204343906 18587571734557 37175143469114 55762715203671 111525430407342