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132232032000210 = 235194614937101929
BaseRepresentation
bin11110000100001110101011…
…010010111001100011010010
3122100012020222200000000212110
4132010032223102321203102
5114312442200143001320
61145122320142010150
736565310010523332
oct3604165322714322
9570166880000773
10132232032000210
113915132086705a
12129b7553b76956
1358a25724a03ac
1424920c8da30c2
1510449d2c085e0
hex7843ab4b98d2

132232032000210 has 128 divisors (see below), whose sum is σ = 334855608595200. Its totient is φ = 33326444113920.

The previous prime is 132232032000193. The next prime is 132232032000251. The reversal of 132232032000210 is 12000230232231.

It is a happy number.

It is a super-2 number, since 2×1322320320002102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1297244526 + ... + 1297346454.

It is an arithmetic number, because the mean of its divisors is an integer number (2616059442150).

Almost surely, 2132232032000210 is an apocalyptic number.

132232032000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132232032000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167427804297600).

132232032000210 is an abundant number, since it is smaller than the sum of its proper divisors (202623576594990).

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

132232032000210 is a wasteful number, since it uses less digits than its factorization.

132232032000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107356.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132232032000210 its reverse (12000230232231), we get a palindrome (144232262232441).

The spelling of 132232032000210 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, thirty-two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 461 570 922 1383 2305 2766 4610 4937 6915 8759 9874 13830 14811 17518 24685 26277 29622 43795 49370 52554 74055 87590 93803 101929 131385 148110 187606 203858 262770 281409 305787 469015 509645 562818 611574 938030 1019290 1407045 1528935 1936651 2275957 2814090 3057870 3873302 4551914 5809953 6827871 9683255 11379785 11619906 13655742 19366510 22759570 29049765 34139355 43243183 46989269 58099530 68278710 86486366 93978538 129729549 140967807 216215915 234946345 259459098 281935614 432431830 469892690 503223473 648647745 704839035 892796111 1006446946 1297295490 1409678070 1509670419 1785592222 2516117365 2678388333 3019340838 4463980555 5032234730 5356776666 7548352095 8927961110 9561245987 13391941665 15096704190 19122491974 26783883330 28683737961 47806229935 57367475922 95612459870 143418689805 231986021053 286837379610 463972042106 695958063159 1159930105265 1391916126318 2319860210530 3479790315795 4407734400007 6959580631590 8815468800014 13223203200021 22038672000035 26446406400042 44077344000070 66116016000105 132232032000210