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132442101012 = 223138310228769
BaseRepresentation
bin111101101011000101…
…0100001010100010100
3110122212010011211102110
41323112022201110110
54132220134213022
6140502033511020
712366016166244
oct1732612412424
9418763154373
10132442101012
1151194127831
1221802712470
13c648b11410
1465a5967b24
1536a245400c
hex1ed62a1514

132442101012 has 48 divisors (see below), whose sum is σ = 336812938560. Its totient is φ = 40260430848.

The previous prime is 132442100993. The next prime is 132442101019. The reversal of 132442101012 is 210101244231.

It is a super-2 number, since 2×1324421010122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132442101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132442101019) 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 15 ways as a sum of consecutive naturals, for example, 5101437 + ... + 5127332.

It is an arithmetic number, because the mean of its divisors is an integer number (7016936220).

Almost surely, 2132442101012 is an apocalyptic number.

132442101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132442101012 is an abundant number, since it is smaller than the sum of its proper divisors (204370837548).

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

132442101012 is a wasteful number, since it uses less digits than its factorization.

132442101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228872 (or 10228870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 132442101012 its reverse (210101244231), we get a palindrome (342543345243).

The spelling of 132442101012 in words is "one hundred thirty-two billion, four hundred forty-two million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 996 1079 2158 3237 4316 6474 12948 10228769 20457538 30686307 40915076 61372614 122745228 132973997 265947994 398921991 531895988 797843982 848987827 1595687964 1697975654 2546963481 3395951308 5093926962 10187853924 11036841751 22073683502 33110525253 44147367004 66221050506 132442101012