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111034326432 = 25313719144201
BaseRepresentation
bin110011101101000101…
…0010101110110100000
3101121121011200012111110
41213122022111312200
53304344241421212
6123001454543320
711010351126261
oct1473212256640
9347534605443
10111034326432
11430a8a89947
1219629207b40
13a616895393
145534708968
152d4cd09a3c
hex19da295da0

111034326432 has 96 divisors (see below), whose sum is σ = 295136400384. Its totient is φ = 36548096000.

The previous prime is 111034326401. The next prime is 111034326443. The reversal of 111034326432 is 234623430111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 111034326432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2489932 + ... + 2534132.

It is an arithmetic number, because the mean of its divisors is an integer number (3074337504).

Almost surely, 2111034326432 is an apocalyptic number.

111034326432 is a gapful number since it is divisible by the number (12) 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 111034326432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147568200192).

111034326432 is an abundant number, since it is smaller than the sum of its proper divisors (184102073952).

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

111034326432 is a wasteful number, since it uses less digits than its factorization.

111034326432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44542 (or 44534 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 111034326432 its reverse (234623430111), we get a palindrome (345657756543).

The spelling of 111034326432 in words is "one hundred eleven billion, thirty-four million, three hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 191 274 382 411 548 573 764 822 1096 1146 1528 1644 2192 2292 3056 3288 4384 4584 6112 6576 9168 13152 18336 26167 44201 52334 78501 88402 104668 132603 157002 176804 209336 265206 314004 353608 418672 530412 628008 707216 837344 1060824 1256016 1414432 2121648 2512032 4243296 6055537 8442391 12111074 16884782 18166611 24222148 25327173 33769564 36333222 48444296 50654346 67539128 72666444 96888592 101308692 135078256 145332888 193777184 202617384 270156512 290665776 405234768 581331552 810469536 1156607567 2313215134 3469822701 4626430268 6939645402 9252860536 13879290804 18505721072 27758581608 37011442144 55517163216 111034326432