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23110444013112 = 23331994311247453
BaseRepresentation
bin1010100000100110100011…
…10011100101011000111000
310000211100002120121221222000
411100103101303211120320
511012120142131404422
6121052442540101000
74603450226632221
oct520232163453070
9100740076557860
1023110444013112
1174000a2180505
122712b60b34760
13cb83c82c2491
1459c7a12b8248
152a125067bcac
hex1504d1ce5638

23110444013112 has 128 divisors (see below), whose sum is σ = 64668015360000. Its totient is φ = 7646980556160.

The previous prime is 23110444013087. The next prime is 23110444013117. The reversal of 23110444013112 is 21131044401132.

It is a happy number.

23110444013112 is a `hidden beast` number, since 2 + 3 + 1 + 104 + 440 + 1 + 3 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23110444013117) 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, 17902378 + ... + 19149830.

It is an arithmetic number, because the mean of its divisors is an integer number (505218870000).

Almost surely, 223110444013112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23110444013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32334007680000).

23110444013112 is an abundant number, since it is smaller than the sum of its proper divisors (41557571346888).

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

23110444013112 is a wasteful number, since it uses less digits than its factorization.

23110444013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248098 (or 1248088 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 23110444013112 its reverse (21131044401132), we get a palindrome (44241488414244).

The spelling of 23110444013112 in words is "twenty-three trillion, one hundred ten billion, four hundred forty-four million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 431 597 796 862 1194 1293 1592 1724 1791 2388 2586 3448 3582 3879 4776 5172 5373 7164 7758 10344 10746 11637 14328 15516 21492 23274 31032 42984 46548 85769 93096 171538 257307 343076 514614 686152 771921 1029228 1247453 1543842 2058456 2315763 2494906 3087684 3742359 4631526 4989812 6175368 7484718 9263052 9979624 11227077 14969436 18526104 22454154 29938872 33681231 44908308 67362462 89816616 134724924 248243147 269449848 496486294 537652243 744729441 992972588 1075304486 1489458882 1612956729 1985945176 2150608972 2234188323 2978917764 3225913458 4301217944 4468376646 4838870187 5957835528 6451826916 6702564969 8936753292 9677740374 12903653832 13405129938 14516610561 17873506584 19355480748 26810259876 29033221122 38710961496 53620519752 58066442244 106992796357 116132884488 213985592714 320978389071 427971185428 641956778142 855942370856 962935167213 1283913556284 1925870334426 2567827112568 2888805501639 3851740668852 5777611003278 7703481337704 11555222006556 23110444013112