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132121132322 = 241611311631237
BaseRepresentation
bin111101100001100001…
…0000111110100100010
3110122000202012221011012
41323003002013310202
54131041002213242
6140410130220522
712355041044414
oct1730302076442
9418022187135
10132121132322
1151039a31253
1221733124742
13c5c748130a
1465750969b4
1536841a2282
hex1ec3087d22

132121132322 has 64 divisors (see below), whose sum is σ = 209363349888. Its totient is φ = 62472384000.

The previous prime is 132121132249. The next prime is 132121132337. The reversal of 132121132322 is 223231121231.

132121132322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321211323222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106807088 + ... + 106808324.

It is an arithmetic number, because the mean of its divisors is an integer number (3271302342).

Almost surely, 2132121132322 is an apocalyptic number.

132121132322 is a deficient number, since it is larger than the sum of its proper divisors (77242217566).

132121132322 is a wasteful number, since it uses less digits than its factorization.

132121132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635.

The product of its digits is 864, while the sum is 23.

Adding to 132121132322 its reverse (223231121231), we get a palindrome (355352253553).

The spelling of 132121132322 in words is "one hundred thirty-two billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 41 61 82 122 131 163 262 326 1237 2474 2501 5002 5371 6683 7991 9943 10742 13366 15982 19886 21353 42706 50717 75457 101434 150914 162047 201631 324094 327631 403262 407663 655262 815326 875473 1302533 1750946 2605066 3093737 6187474 6643927 8266871 9884867 12299491 13287854 16533742 19769734 24598982 26413661 52827322 53403853 106807706 405279547 504279131 810559094 1008558262 1082960101 1611233321 2165920202 3222466642 66060566161 132121132322