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132011033100 = 223524311020967
BaseRepresentation
bin111101011110001111…
…0001000001000001100
3110121202002001022102020
41322330132020020030
54130324311024400
6140351154330140
712352233160422
oct1727436101014
9417662038366
10132011033100
1150a92872061
1221702289950
13c5aa712a4b
1465645d7112
1536796a52a0
hex1ebc78820c

132011033100 has 72 divisors (see below), whose sum is σ = 382838496768. Its totient is φ = 35121230400.

The previous prime is 132011033053. The next prime is 132011033101. The reversal of 132011033100 is 1330110231.

It is a super-2 number, since 2×1320110331002 (a number of 23 digits) contains 22 as substring.

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 132011033100.

It is not an unprimeable number, because it can be changed into a prime (132011033101) 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, 381184 + ... + 639783.

It is an arithmetic number, because the mean of its divisors is an integer number (5317201344).

Almost surely, 2132011033100 is an apocalyptic number.

132011033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132011033100 is an abundant number, since it is smaller than the sum of its proper divisors (250827463668).

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

132011033100 is a wasteful number, since it uses less digits than its factorization.

132011033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021415 (or 1021408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 132011033100 its reverse (1330110231), we get a palindrome (133341143331).

The spelling of 132011033100 in words is "one hundred thirty-two billion, eleven million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 431 862 1293 1724 2155 2586 4310 5172 6465 8620 10775 12930 21550 25860 32325 43100 64650 129300 1020967 2041934 3062901 4083868 5104835 6125802 10209670 12251604 15314505 20419340 25524175 30629010 51048350 61258020 76572525 102096700 153145050 306290100 440036777 880073554 1320110331 1760147108 2200183885 2640220662 4400367770 5280441324 6600551655 8800735540 11000919425 13201103310 22001838850 26402206620 33002758275 44003677700 66005516550 132011033100