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121331100 = 223521136767
BaseRepresentation
bin1110011101101…
…01110110011100
322110022020222110
413032311312130
5222030043400
620012314020
73002203662
oct716656634
9273266873
10121331100
1162540940
1234772910
131c1a1a67
1412184c32
15a9b9e50
hex73b5d9c

121331100 has 72 divisors (see below), whose sum is σ = 382975488. Its totient is φ = 29412800.

The previous prime is 121331069. The next prime is 121331107. The reversal of 121331100 is 1133121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15084 + ... + 21683.

It is an arithmetic number, because the mean of its divisors is an integer number (5319104).

Almost surely, 2121331100 is an apocalyptic number.

121331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121331100 is an abundant number, since it is smaller than the sum of its proper divisors (261644388).

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

121331100 is a wasteful number, since it uses less digits than its factorization.

121331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36795 (or 36788 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 121331100 is about 11015.0397184940. The cubic root of 121331100 is about 495.0594765795.

Adding to 121331100 its reverse (1133121), we get a palindrome (122464221).

The spelling of 121331100 in words is "one hundred twenty-one million, three hundred thirty-one 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 36767 73534 110301 147068 183835 220602 367670 404437 441204 551505 735340 808874 919175 1103010 1213311 1617748 1838350 2022185 2206020 2426622 2757525 3676700 4044370 4853244 5515050 6066555 8088740 10110925 11030100 12133110 20221850 24266220 30332775 40443700 60665550 121331100