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1201222100 = 2252133141727
BaseRepresentation
bin100011110011001…
…0011000111010100
310002201022101221102
41013212103013110
54430003101400
6315110205232
741524135151
oct10746230724
93081271842
101201222100
11567070a41
12296353818
13161b31810
14b576b228
15706cc9d5
hex479931d4

1201222100 has 144 divisors (see below), whose sum is σ = 2972476416. Its totient is φ = 418176000.

The previous prime is 1201222093. The next prime is 1201222103. The reversal of 1201222100 is 12221021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201222103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651937 + ... + 1652663.

Almost surely, 21201222100 is an apocalyptic number.

1201222100 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 1201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486238208).

1201222100 is an abundant number, since it is smaller than the sum of its proper divisors (1771254316).

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

1201222100 is a wasteful number, since it uses less digits than its factorization.

1201222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 819 counting only the distinct ones).

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

The square root of 1201222100 is about 34658.6511566737. The cubic root of 1201222100 is about 1063.0191898555.

Adding to 1201222100 its reverse (12221021), we get a palindrome (1213443121).

The spelling of 1201222100 in words is "one billion, two hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 41 50 52 62 65 82 100 124 130 155 164 205 260 310 325 403 410 533 620 650 727 775 806 820 1025 1066 1271 1300 1454 1550 1612 2015 2050 2132 2542 2665 2908 3100 3635 4030 4100 5084 5330 6355 7270 8060 9451 10075 10660 12710 13325 14540 16523 18175 18902 20150 22537 25420 26650 29807 31775 33046 36350 37804 40300 45074 47255 53300 59614 63550 66092 72700 82615 90148 94510 112685 119228 127100 149035 165230 189020 225370 236275 292981 298070 330460 387491 413075 450740 472550 563425 585962 596140 745175 774982 826150 924017 945100 1126850 1171924 1464905 1490350 1549964 1652300 1848034 1937455 2253700 2929810 2980700 3696068 3874910 4620085 5859620 7324525 7749820 9240170 9687275 12012221 14649050 18480340 19374550 23100425 24024442 29298100 38749100 46200850 48048884 60061105 92401700 120122210 240244420 300305525 600611050 1201222100