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132022100 = 22527188603
BaseRepresentation
bin1111101111001…
…11111101010100
3100012102102021102
413313213331110
5232244201400
621033405232
73162112040
oct767477524
9305372242
10132022100
1168583181
1238269818
1321475cb2
1413769020
15b8cc9d5
hex7de7f54

132022100 has 36 divisors (see below), whose sum is σ = 327416544. Its totient is φ = 45264480.

The previous prime is 132022097. The next prime is 132022103. The reversal of 132022100 is 1220231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132022097) and next prime (132022103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93602 + ... + 95001.

It is an arithmetic number, because the mean of its divisors is an integer number (9094904).

Almost surely, 2132022100 is an apocalyptic number.

132022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132022100 is an abundant number, since it is smaller than the sum of its proper divisors (195394444).

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

132022100 is a wasteful number, since it uses less digits than its factorization.

132022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188624 (or 188617 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 132022100 is about 11490.0870318723. The cubic root of 132022100 is about 509.1927508647.

Adding to 132022100 its reverse (1220231), we get a palindrome (133242331).

The spelling of 132022100 in words is "one hundred thirty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 188603 377206 754412 943015 1320221 1886030 2640442 3772060 4715075 5280884 6601105 9430150 13202210 18860300 26404420 33005525 66011050 132022100