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110052341532 = 223274125914111
BaseRepresentation
bin110011001111110100…
…0010111011100011100
3101112001201220012110100
41212133220113130130
53300341344412112
6122320215341100
710644125316450
oct1463750273434
9345051805410
10110052341532
1142744750081
12193b4381790
13a4bb2c5023
14548012a660
152ce19d62dc
hex199fa1771c

110052341532 has 144 divisors (see below), whose sum is σ = 325888303104. Its totient is φ = 30657312000.

The previous prime is 110052341501. The next prime is 110052341543. The reversal of 110052341532 is 235143250011.

110052341532 is a `hidden beast` number, since 1 + 100 + 5 + 23 + 4 + 1 + 532 = 666.

It is a super-2 number, since 2×1100523415322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110052341496 and 110052341505.

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, 26768157 + ... + 26772267.

It is an arithmetic number, because the mean of its divisors is an integer number (2263113216).

Almost surely, 2110052341532 is an apocalyptic number.

110052341532 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 110052341532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162944151552).

110052341532 is an abundant number, since it is smaller than the sum of its proper divisors (215835961572).

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

110052341532 is a wasteful number, since it uses less digits than its factorization.

110052341532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 110052341532 its reverse (235143250011), we get a palindrome (345195591543).

It can be divided in two parts, 110052 and 341532, that added together give a square (451584 = 6722).

The spelling of 110052341532 in words is "one hundred ten billion, fifty-two million, three hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 2591 3444 4111 5166 5182 7773 8222 10332 10364 12333 15546 16444 18137 23319 24666 28777 31092 36274 36999 46638 49332 54411 57554 72548 73998 86331 93276 106231 108822 115108 147996 163233 168551 172662 212462 217644 258993 318693 326466 337102 345324 424924 505653 517986 637386 652932 674204 743617 956079 1011306 1035972 1179857 1274772 1487234 1516959 1912158 2022612 2230851 2359714 2974468 3033918 3539571 3824316 4461702 4719428 6067836 6692553 7079142 8923404 10618713 10651601 13385106 14158284 21237426 21303202 26770212 31954803 42474852 42606404 63909606 74561207 95864409 127819212 149122414 191728818 223683621 298244828 383457636 436715641 447367242 671050863 873431282 894734484 1310146923 1342101726 1746862564 2620293846 2684203452 3057009487 3930440769 5240587692 6114018974 7860881538 9171028461 12228037948 15721763076 18342056922 27513085383 36684113844 55026170766 110052341532