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132023202100 = 22524147685123
BaseRepresentation
bin111101011110100110…
…0100011000100110100
3110121202220221120010221
41322331030203010310
54130340414431400
6140352311224124
712352441462516
oct1727514430464
9417686846127
10132023202100
1150a99723889
1221706378044
13c5b00b393a
146566083bb6
15367a7aac1a
hex1ebd323134

132023202100 has 72 divisors (see below), whose sum is σ = 299722566528. Its totient is φ = 50424979200.

The previous prime is 132023202041. The next prime is 132023202131. The reversal of 132023202100 is 1202320231.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 149862 + ... + 535261.

It is an arithmetic number, because the mean of its divisors is an integer number (4162813424).

Almost surely, 2132023202100 is an apocalyptic number.

132023202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132023202100 is an abundant number, since it is smaller than the sum of its proper divisors (167699364428).

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

132023202100 is a wasteful number, since it uses less digits than its factorization.

132023202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685225 (or 685218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132023202100 its reverse (1202320231), we get a palindrome (133225522331).

The spelling of 132023202100 in words is "one hundred thirty-two billion, twenty-three million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 47 50 82 94 100 164 188 205 235 410 470 820 940 1025 1175 1927 2050 2350 3854 4100 4700 7708 9635 19270 38540 48175 96350 192700 685123 1370246 2740492 3425615 6851230 13702460 17128075 28090043 32200781 34256150 56180086 64401562 68512300 112360172 128803124 140450215 161003905 280900430 322007810 561800860 644015620 702251075 805019525 1320232021 1404502150 1610039050 2640464042 2809004300 3220078100 5280928084 6601160105 13202320210 26404640420 33005800525 66011601050 132023202100