Search a number
-
+
132031100100 = 223521743602057
BaseRepresentation
bin111101011110110101…
…0101011010011000100
3110121210110210211011110
41322331222223103010
54130344430200400
6140353152405020
712352565555664
oct1727552532304
9417713724143
10132031100100
1150aa3128759
1221708b46770
13c5b191a803
14656713c1a4
15367b31ae50
hex1ebdaab4c4

132031100100 has 144 divisors (see below), whose sum is σ = 413888384448. Its totient is φ = 32366530560.

The previous prime is 132031100023. The next prime is 132031100129. The reversal of 132031100100 is 1001130231.

It is a super-2 number, since 2×1320311001002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81729 + ... + 520328.

It is an arithmetic number, because the mean of its divisors is an integer number (2874224892).

Almost surely, 2132031100100 is an apocalyptic number.

132031100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132031100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206944192224).

132031100100 is an abundant number, since it is smaller than the sum of its proper divisors (281857284348).

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

132031100100 is a wasteful number, since it uses less digits than its factorization.

132031100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602134 (or 602127 counting only the distinct ones).

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

Adding to 132031100100 its reverse (1001130231), we get a palindrome (133032230331).

The spelling of 132031100100 in words is "one hundred thirty-two billion, thirty-one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 43 50 51 60 68 75 85 86 100 102 129 150 170 172 204 215 255 258 300 340 425 430 510 516 645 731 850 860 1020 1075 1275 1290 1462 1700 2150 2193 2550 2580 2924 3225 3655 4300 4386 5100 6450 7310 8772 10965 12900 14620 18275 21930 36550 43860 54825 73100 109650 219300 602057 1204114 1806171 2408228 3010285 3612342 6020570 7224684 9030855 10234969 12041140 15051425 18061710 20469938 25888451 30102850 30704907 36123420 40939876 45154275 51174845 51776902 60205700 61409814 77665353 90308550 102349690 103553804 122819628 129442255 153524535 155330706 180617100 204699380 255874225 258884510 307049070 310661412 388326765 440103667 511748450 517769020 614098140 647211275 767622675 776653530 880207334 1023496900 1294422550 1320311001 1535245350 1553307060 1760414668 1941633825 2200518335 2588845100 2640622002 3070490700 3883267650 4401036670 5281244004 6601555005 7766535300 8802073340 11002591675 13203110010 22005183350 26406220020 33007775025 44010366700 66015550050 132031100100