Search a number
-
+
10110432150112 = 257374637263077
BaseRepresentation
bin1001001100100000010010…
…1101111000001001100000
31022210112210101210201201011
42103020010231320021200
52311122131112300422
633300400213150304
72062311635211520
oct223100455701140
938715711721634
1010110432150112
1132488a0408988
12117357732b394
13584543042548
1426d4c1885680
15127edee50077
hex93204b78260

10110432150112 has 96 divisors (see below), whose sum is σ = 23368423192128. Its totient is φ = 4215007881216.

The previous prime is 10110432150097. The next prime is 10110432150151. The reversal of 10110432150112 is 21105123401101.

It is a super-2 number, since 2×101104321501122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 38299918 + ... + 38562994.

It is an arithmetic number, because the mean of its divisors is an integer number (243421074918).

Almost surely, 210110432150112 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 10110432150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684211596064).

10110432150112 is an abundant number, since it is smaller than the sum of its proper divisors (13257991042016).

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

10110432150112 is a wasteful number, since it uses less digits than its factorization.

10110432150112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267768 (or 267760 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 10110432150112 its reverse (21105123401101), we get a palindrome (31215555551213).

The spelling of 10110432150112 in words is "ten trillion, one hundred ten billion, four hundred thirty-two million, one hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 4637 8288 9274 18548 32459 37096 64918 74192 129836 148384 171569 259672 263077 343138 519344 526154 686276 1038688 1052308 1200983 1372552 1841539 2104616 2401966 2745104 3683078 4209232 4803932 5490208 7366156 8418464 9607864 9733849 14732312 19215728 19467698 29464624 38431456 38935396 58929248 68136943 77870792 136273886 155741584 272547772 311483168 545095544 1090191088 1219888049 2180382176 2439776098 4879552196 8539216343 9759104392 17078432686 19518208784 34156865372 39036417568 45135857813 68313730744 90271715626 136627461488 180543431252 273254922976 315951004691 361086862504 631902009382 722173725008 1263804018764 1444347450016 2527608037528 5055216075056 10110432150112