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11232122100 = 2235237440407
BaseRepresentation
bin10100111010111110…
…01001010011110100
31001222210012220220020
422131133021103310
5141000410401400
65054315205140
7545225314443
oct123537112364
931883186806
1011232122100
114844270641
1222157467b0
1310a004a7c4
14787a54d5a
1545b1412a0
hex29d7c94f4

11232122100 has 36 divisors (see below), whose sum is σ = 32498274144. Its totient is φ = 2995232480.

The previous prime is 11232122051. The next prime is 11232122101. The reversal of 11232122100 is 122123211.

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 11232122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232122101) 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, 18719904 + ... + 18720503.

Almost surely, 211232122100 is an apocalyptic number.

11232122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232122100 is an abundant number, since it is smaller than the sum of its proper divisors (21266152044).

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

11232122100 is a wasteful number, since it uses less digits than its factorization.

11232122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37440424 (or 37440417 counting only the distinct ones).

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

Adding to 11232122100 its reverse (122123211), we get a palindrome (11354245311).

It can be divided in two parts, 112321 and 22100, that added together give a triangular number (134421 = T518).

The spelling of 11232122100 in words is "eleven billion, two hundred thirty-two 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 37440407 74880814 112321221 149761628 187202035 224642442 374404070 449284884 561606105 748808140 936010175 1123212210 1872020350 2246424420 2808030525 3744040700 5616061050 11232122100