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1212220100 = 2252713210247
BaseRepresentation
bin100100001000001…
…0000001011000100
310010111000011100202
41020100100023010
54440312020400
6320142030032
742016462250
oct11020201304
93114004322
101212220100
115722a29a3
12299b78318
131641b2700
14b6dd1260
15716514d5
hex484102c4

1212220100 has 108 divisors (see below), whose sum is σ = 3255666624. Its totient is φ = 383610240.

The previous prime is 1212220091. The next prime is 1212220111. The reversal of 1212220100 is 10222121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113177 + ... + 123423.

Almost surely, 21212220100 is an apocalyptic number.

1212220100 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 1212220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627833312).

1212220100 is an abundant number, since it is smaller than the sum of its proper divisors (2043446524).

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

1212220100 is a wasteful number, since it uses less digits than its factorization.

1212220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10294 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1212220100 is about 34816.9513312122. The cubic root of 1212220100 is about 1066.2535585615.

Adding to 1212220100 its reverse (10222121), we get a palindrome (1222442221).

It can be divided in two parts, 121 and 2220100, that multiplied together give a square (268632100 = 163902).

The spelling of 1212220100 in words is "one billion, two hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 169 175 182 260 325 338 350 364 455 650 676 700 845 910 1183 1300 1690 1820 2275 2366 3380 4225 4550 4732 5915 8450 9100 10247 11830 16900 20494 23660 29575 40988 51235 59150 71729 102470 118300 133211 143458 204940 256175 266422 286916 358645 512350 532844 666055 717290 932477 1024700 1332110 1434580 1731743 1793225 1864954 2664220 3330275 3463486 3586450 3729908 4662385 6660550 6926972 7172900 8658715 9324770 12122201 13321100 17317430 18649540 23311925 24244402 34634860 43293575 46623850 48488804 60611005 86587150 93247700 121222010 173174300 242444020 303055025 606110050 1212220100