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101010232344 = 23377919139847
BaseRepresentation
bin101111000010010101…
…1011101010000011000
3100122201120120110111110
41132010223131100120
53123332104413334
6114223051500320
710204061544210
oct1360453352030
9318646513443
10101010232344
113992470866a
12176b01576a0
1396a9bc0168
144c632b3240
152962c8cae9
hex1784add418

101010232344 has 128 divisors (see below), whose sum is σ = 293791334400. Its totient is φ = 28344850560.

The previous prime is 101010232343. The next prime is 101010232357. The reversal of 101010232344 is 443232010101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101010232344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010232343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515029 + ... + 2554875.

It is an arithmetic number, because the mean of its divisors is an integer number (2295244800).

Almost surely, 2101010232344 is an apocalyptic number.

101010232344 is a gapful number since it is divisible by the number (14) 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 101010232344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146895667200).

101010232344 is an abundant number, since it is smaller than the sum of its proper divisors (192781102056).

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

101010232344 is a wasteful number, since it uses less digits than its factorization.

101010232344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40133 (or 40129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101010232344 its reverse (443232010101), we get a palindrome (544242242445).

The spelling of 101010232344 in words is "one hundred one billion, ten million, two hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 191 237 316 382 474 553 573 632 764 948 1106 1146 1337 1528 1659 1896 2212 2292 2674 3318 4011 4424 4584 5348 6636 8022 10696 13272 15089 16044 30178 32088 39847 45267 60356 79694 90534 105623 119541 120712 159388 181068 211246 239082 278929 316869 318776 362136 422492 478164 557858 633738 836787 844984 956328 1115716 1267476 1673574 2231432 2534952 3147913 3347148 6295826 6694296 7610777 9443739 12591652 15221554 18887478 22035391 22832331 25183304 30443108 37774956 44070782 45664662 53275439 60886216 66106173 75549912 88141564 91329324 106550878 132212346 159826317 176283128 182658648 213101756 264424692 319652634 426203512 528849384 601251383 639305268 1202502766 1278610536 1803754149 2405005532 3607508298 4208759681 4810011064 7215016596 8417519362 12626279043 14430033192 16835038724 25252558086 33670077448 50505116172 101010232344