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1220012100 = 2232523736637
BaseRepresentation
bin100100010110111…
…1110100001000100
310011000200000222100
41020231332201010
54444310341400
6321021032100
742142634406
oct11055764104
93130600870
101220012100
1157673516a
122a06b5630
131659b0268
14b805cb76
1572190100
hex48b7e844

1220012100 has 108 divisors (see below), whose sum is σ = 3927520324. Its totient is φ = 316535040.

The previous prime is 1220012093. The next prime is 1220012119. The reversal of 1220012100 is 12100221.

It can be written as a sum of positive squares in 6 ways, for example, as 186624 + 1219825476 = 432^2 + 34926^2 .

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

It is a congruent 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, 14982 + ... + 51618.

Almost surely, 21220012100 is an apocalyptic number.

1220012100 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 1220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963760162).

1220012100 is an abundant number, since it is smaller than the sum of its proper divisors (2707508224).

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

1220012100 is a wasteful number, since it uses less digits than its factorization.

1220012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36694 (or 36684 counting only the distinct ones).

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

The square root of 1220012100 is about 34928.6716037126. The cubic root of 1220012100 is about 1068.5332627082.

Adding to 1220012100 its reverse (12100221), we get a palindrome (1232112321).

The spelling of 1220012100 in words is "one billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 36637 73274 109911 146548 183185 219822 329733 366370 439644 549555 659466 732740 915925 1099110 1318932 1355569 1648665 1831850 2198220 2711138 2747775 3297330 3663700 4066707 5422276 5495550 6594660 6777845 8133414 8243325 10991100 12200121 13555690 16266828 16486650 20333535 24400242 27111380 32973300 33889225 40667070 48800484 61000605 67778450 81334140 101667675 122001210 135556900 203335350 244002420 305003025 406670700 610006050 1220012100