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132222232100 = 225272231173223
BaseRepresentation
bin111101100100100001…
…1110010011000100100
3110122021210110022222102
41323021003302120210
54131242342411400
6140424141151232
712360406300100
oct1731103623044
9418253408872
10132222232100
1151091003a92
1221760b5b518
13c6123bb57a
146584692900
15368cec29d5
hex1ec90f2624

132222232100 has 108 divisors (see below), whose sum is σ = 348278583744. Its totient is φ = 43362285120.

The previous prime is 132222232097. The next prime is 132222232127. The reversal of 132222232100 is 1232222231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 473912 + ... + 699311.

Almost surely, 2132222232100 is an apocalyptic number.

132222232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132222232100 is an abundant number, since it is smaller than the sum of its proper divisors (216056351644).

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

132222232100 is a wasteful number, since it uses less digits than its factorization.

132222232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173274 (or 1173260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132222232100 its reverse (1232222231), we get a palindrome (133454454331).

The spelling of 132222232100 in words is "one hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 196 230 245 322 350 460 490 575 644 700 805 980 1127 1150 1225 1610 2254 2300 2450 3220 4025 4508 4900 5635 8050 11270 16100 22540 28175 56350 112700 1173223 2346446 4692892 5866115 8212561 11732230 16425122 23464460 26984129 29330575 32850244 41062805 53968258 57487927 58661150 82125610 107936516 114975854 117322300 134920645 164251220 188888903 205314025 229951708 269841290 287439635 377777806 410628050 539682580 574879270 674603225 755555612 821256100 944444515 1149758540 1322222321 1349206450 1437198175 1888889030 2644444642 2698412900 2874396350 3777778060 4722222575 5288889284 5748792700 6611111605 9444445150 13222223210 18888890300 26444446420 33055558025 66111116050 132222232100