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120220100 = 2252711131201
BaseRepresentation
bin1110010101001…
…10100111000100
322101012210222022
413022212213010
5221234020400
615532422312
72656565630
oct712464704
9271183868
10120220100
1161952160
1234317998
131bba3170
1411d75dc0
15a84ab85
hex72a69c4

120220100 has 144 divisors (see below), whose sum is σ = 350560896. Its totient is φ = 34560000.

The previous prime is 120220099. The next prime is 120220117. The reversal of 120220100 is 1022021.

Added to its reverse (1022021) it gives a square (121242121 = 110112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99500 + ... + 100700.

Almost surely, 2120220100 is an apocalyptic number.

120220100 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 120220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175280448).

120220100 is an abundant number, since it is smaller than the sum of its proper divisors (230340796).

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

120220100 is a wasteful number, since it uses less digits than its factorization.

120220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 120220100 is about 10964.4926923228. The cubic root of 120220100 is about 493.5437936135.

Adding to 120220100 its reverse (1022021), we get a palindrome (121242121).

The spelling of 120220100 in words is "one hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1201 1300 1430 1540 1820 1925 2002 2275 2402 2860 3575 3850 4004 4550 4804 5005 6005 7150 7700 8407 9100 10010 12010 13211 14300 15613 16814 20020 24020 25025 26422 30025 31226 33628 42035 50050 52844 60050 62452 66055 78065 84070 92477 100100 109291 120100 132110 156130 168140 171743 184954 210175 218582 264220 312260 330275 343486 369908 390325 420350 437164 462385 546455 660550 686972 780650 840700 858715 924770 1092910 1202201 1321100 1561300 1717430 1849540 2185820 2311925 2404402 2732275 3434860 4293575 4623850 4808804 5464550 6011005 8587150 9247700 10929100 12022010 17174300 24044020 30055025 60110050 120220100