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132012122100 = 22352440040407
BaseRepresentation
bin111101011110010001…
…0010001111111110100
3110121202011002122020120
41322330202101333310
54130330100401400
6140351233531540
712352245344355
oct1727442217764
9417664078216
10132012122100
1150a93446261
1221702713bb0
13c5aaa04621
1465647dbd2c
15367981cca0
hex1ebc891ff4

132012122100 has 36 divisors (see below), whose sum is σ = 381955074144. Its totient is φ = 35203232480.

The previous prime is 132012122071. The next prime is 132012122107. The reversal of 132012122100 is 1221210231.

132012122100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132012122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012122107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220019904 + ... + 220020503.

Almost surely, 2132012122100 is an apocalyptic number.

132012122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132012122100 is an abundant number, since it is smaller than the sum of its proper divisors (249942952044).

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

132012122100 is a wasteful number, since it uses less digits than its factorization.

132012122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440040424 (or 440040417 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132012122100 its reverse (1221210231), we get a palindrome (133233332331).

The spelling of 132012122100 in words is "one hundred thirty-two billion, twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 440040407 880080814 1320121221 1760161628 2200202035 2640242442 4400404070 5280484884 6600606105 8800808140 11001010175 13201212210 22002020350 26402424420 33003030525 44004040700 66006061050 132012122100