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132023101002 = 231359211313577
BaseRepresentation
bin111101011110100110…
…0001010011001001010
3110121202220202102110120
41322331030022121022
54130340403213002
6140352305124110
712352440562002
oct1727514123112
9417686672416
10132023101002
1150a99664931
1221706329636
13c5b0079910
146566059002
15367a78acbc
hex1ebd30a64a

132023101002 has 64 divisors (see below), whose sum is σ = 289335231360. Its totient is φ = 39912136704.

The previous prime is 132023100973. The next prime is 132023101013. The reversal of 132023101002 is 200101320231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9717238 + ... + 9730814.

It is an arithmetic number, because the mean of its divisors is an integer number (4520862990).

Almost surely, 2132023101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132023101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144667615680).

132023101002 is an abundant number, since it is smaller than the sum of its proper divisors (157312130358).

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

132023101002 is a wasteful number, since it uses less digits than its factorization.

132023101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15767.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132023101002 its reverse (200101320231), we get a palindrome (332124421233).

The spelling of 132023101002 in words is "one hundred thirty-two billion, twenty-three million, one hundred one thousand, two".

Divisors: 1 2 3 6 13 26 39 59 78 118 177 354 767 1534 2113 2301 4226 4602 6339 12678 13577 27154 27469 40731 54938 81462 82407 124667 164814 176501 249334 353002 374001 529503 748002 801043 1059006 1602086 1620671 2403129 3241342 4806258 4862013 9724026 10413559 20827118 28688201 31240677 57376402 62481354 86064603 172129206 372946613 745893226 1118839839 1692603859 2237679678 3385207718 5077811577 10155623154 22003850167 44007700334 66011550501 132023101002