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1201220100 = 2232521518839
BaseRepresentation
bin100011110011001…
…0010101000000100
310002201022022012100
41013212102220010
54430003020400
6315110152100
741524126263
oct10746225004
93081268170
101201220100
1156706a493
12296352630
13161b30932
14b576a5da
15706cc100
hex47992a04

1201220100 has 108 divisors (see below), whose sum is σ = 3790521280. Its totient is φ = 318168000.

The previous prime is 1201220087. The next prime is 1201220129. The reversal of 1201220100 is 10221021.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 131481 + ... + 140319.

Almost surely, 21201220100 is an apocalyptic number.

1201220100 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 1201220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895260640).

1201220100 is an abundant number, since it is smaller than the sum of its proper divisors (2589301180).

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

1201220100 is a wasteful number, since it uses less digits than its factorization.

1201220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201220100 is about 34658.6223038366. The cubic root of 1201220100 is about 1063.0185998898.

Adding to 1201220100 its reverse (10221021), we get a palindrome (1211441121).

The spelling of 1201220100 in words is "one billion, two hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 151 180 225 300 302 450 453 604 755 900 906 1359 1510 1812 2265 2718 3020 3775 4530 5436 6795 7550 8839 9060 11325 13590 15100 17678 22650 26517 27180 33975 35356 44195 45300 53034 67950 79551 88390 106068 132585 135900 159102 176780 220975 265170 318204 397755 441950 530340 662925 795510 883900 1325850 1334689 1591020 1988775 2651700 2669378 3977550 4004067 5338756 6673445 7955100 8008134 12012201 13346890 16016268 20020335 24024402 26693780 33367225 40040670 48048804 60061005 66734450 80081340 100101675 120122010 133468900 200203350 240244020 300305025 400406700 600610050 1201220100