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1220100022100 = 225218167408841
BaseRepresentation
bin10001110000010011101…
…000001101111101010100
311022122021212110000202102
4101300103220031331110
5124442231101201400
62332301201501232
7154102134033401
oct21602350157524
94278255400672
101220100022100
11430494722203
12178569041818
138b0939131cb
14430a5c092a8
1521b0e6129d5
hex11c13a0df54

1220100022100 has 36 divisors (see below), whose sum is σ = 2662244805948. Its totient is φ = 485343648000.

The previous prime is 1220100022093. The next prime is 1220100022123. The reversal of 1220100022100 is 12200010221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 528188818756 + 691911203344 = 726766^2 + 831812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33686321 + ... + 33722520.

Almost surely, 21220100022100 is an apocalyptic number.

1220100022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220100022100 is an abundant number, since it is smaller than the sum of its proper divisors (1442144783848).

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

1220100022100 is a wasteful number, since it uses less digits than its factorization.

1220100022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67409036 (or 67409029 counting only the distinct ones).

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

Adding to 1220100022100 its reverse (12200010221), we get a palindrome (1232300032321).

The spelling of 1220100022100 in words is "one trillion, two hundred twenty billion, one hundred million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 67408841 134817682 269635364 337044205 674088410 1348176820 1685221025 3370442050 6740884100 12201000221 24402000442 48804000884 61005001105 122010002210 244020004420 305025005525 610050011050 1220100022100