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132122100 = 223521140037
BaseRepresentation
bin1111110000000…
…00010111110100
3100012121111110010
413320000113310
5232310401400
621035500220
73163006425
oct770002764
9305544403
10132122100
1168641320
12382b7670
13214ac676
141379364c
15b8ec450
hex7e005f4

132122100 has 72 divisors (see below), whose sum is σ = 417035808. Its totient is φ = 32028800.

The previous prime is 132122099. The next prime is 132122119. The reversal of 132122100 is 1221231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16719 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (5792164).

Almost surely, 2132122100 is an apocalyptic number.

132122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122100 is an abundant number, since it is smaller than the sum of its proper divisors (284913708).

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

132122100 is a wasteful number, since it uses less digits than its factorization.

132122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40065 (or 40058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132122100 is about 11494.4377852942. The cubic root of 132122100 is about 509.3212809221.

Adding to 132122100 its reverse (1221231), we get a palindrome (133343331).

The spelling of 132122100 in words is "one hundred thirty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 40037 80074 120111 160148 200185 240222 400370 440407 480444 600555 800740 880814 1000925 1201110 1321221 1761628 2001850 2202035 2402220 2642442 3002775 4003700 4404070 5284884 6005550 6606105 8808140 11010175 12011100 13212210 22020350 26424420 33030525 44040700 66061050 132122100