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101324421132 = 2231110320293673
BaseRepresentation
bin101111001011101100…
…1111111100000001100
3100200112110202220111020
41132113121333200030
53130003022434012
6114314153554140
710214625240414
oct1362731774014
9320473686436
10101324421132
1139a75aa3320
1217779415950
13972a01829c
144c92cdb644
152980650a8c
hex179767f80c

101324421132 has 96 divisors (see below), whose sum is σ = 260620039680. Its totient is φ = 30383009280.

The previous prime is 101324421097. The next prime is 101324421151. The reversal of 101324421132 is 231124423101.

It is a super-2 number, since 2×1013244211322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27584448 + ... + 27588120.

It is an arithmetic number, because the mean of its divisors is an integer number (2714792080).

Almost surely, 2101324421132 is an apocalyptic number.

101324421132 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 101324421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310019840).

101324421132 is an abundant number, since it is smaller than the sum of its proper divisors (159295618548).

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

101324421132 is a wasteful number, since it uses less digits than its factorization.

101324421132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101324421132 its reverse (231124423101), we get a palindrome (332448844233).

The spelling of 101324421132 in words is "one hundred one billion, three hundred twenty-four million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2029 2266 3399 3673 4058 4532 6087 6798 7346 8116 11019 12174 13596 14692 22038 22319 24348 40403 44076 44638 66957 80806 89276 121209 133914 161612 208987 242418 267828 378319 417974 484836 626961 756638 835948 1134957 1253922 1513276 2269914 2298857 2507844 4161509 4539828 4597714 6896571 7452517 8323018 9195428 12484527 13793142 14905034 16646036 22357551 24969054 27586284 29810068 44715102 49938108 81977687 89430204 163955374 245933061 327910748 491866122 767609251 983732244 1535218502 2302827753 3070437004 4605655506 8443701761 9211311012 16887403522 25331105283 33774807044 50662210566 101324421132