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132111220400010 = 23259752328935019
BaseRepresentation
bin11110000010011110001010…
…010111001101111110001010
3122022202201011002122212012100
4132002132022113031332022
5114304002234410300020
61144551020134054230
736553502125051515
oct3602361227157612
9568681132585170
10132111220400010
1139105065868775
12129980584aa376
13589405b101127
14248a307d51d7c
1510417b1888a90
hex78278a5cdf8a

132111220400010 has 96 divisors (see below), whose sum is σ = 347693848407360. Its totient is φ = 34799798928384.

The previous prime is 132111220399999. The next prime is 132111220400011. The reversal of 132111220400010 is 10004022111231.

132111220400010 is a `hidden beast` number, since 1 + 3 + 21 + 11 + 220 + 400 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132111220400011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9901720 + ... + 19033299.

It is an arithmetic number, because the mean of its divisors is an integer number (3621810920910).

Almost surely, 2132111220400010 is an apocalyptic number.

132111220400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132111220400010 is an abundant number, since it is smaller than the sum of its proper divisors (215582628007350).

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

132111220400010 is a wasteful number, since it uses less digits than its factorization.

132111220400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28935652 (or 28935649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132111220400010 its reverse (10004022111231), we get a palindrome (142115242511241).

The spelling of 132111220400010 in words is "one hundred thirty-two trillion, one hundred eleven billion, two hundred twenty million, four hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 523 582 873 970 1046 1455 1569 1746 2615 2910 3138 4365 4707 5230 7845 8730 9414 15690 23535 47070 50731 101462 152193 253655 304386 456579 507310 760965 913158 1521930 2282895 4565790 28935019 57870038 86805057 144675095 173610114 260415171 289350190 434025285 520830342 868050570 1302075855 2604151710 2806696843 5613393686 8420090529 14033484215 15133014937 16840181058 25260271587 28066968430 30266029874 42100452645 45399044811 50520543174 75665074685 84200905290 90798089622 126301357935 136197134433 151330149370 226995224055 252602715870 272394268866 453990448110 680985672165 1361971344330 1467902448889 2935804897778 4403707346667 7339512244445 8807414693334 13211122040001 14679024488890 22018536733335 26422244080002 44037073466670 66055610200005 132111220400010