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1220119068100 = 22521104592
BaseRepresentation
bin10001110000010100110…
…000110111110111000100
311022122100012021122221211
4101300110300313313010
5124442300440134400
62332303122021204
7154102454650162
oct21602460676704
94278305248854
101220119068100
114304a44507a9
121785734a7804
138b09785132a
14430a8566232
1521b11125dba
hex11c14c37dc4

1220119068100 has 27 divisors (see below), whose sum is σ = 2647682347597. Its totient is φ = 488043208880.

The previous prime is 1220119068089. The next prime is 1220119068109. The reversal of 1220119068100 is 18609110221.

It is a happy number.

The square root of 1220119068100 is 1104590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 439242864516 + 780876203584 = 662754^2 + 883672^2 .

It is a super-2 number, since 2×12201190681002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220119068109) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 10990671 + ... + 11101129.

Almost surely, 21220119068100 is an apocalyptic number.

1220119068100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1220119068100 is the 1104590-th square number.

It is an amenable number.

1220119068100 is an abundant number, since it is smaller than the sum of its proper divisors (1427563279497).

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

1220119068100 is an frugal number, since it uses more digits than its factorization.

1220119068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220932 (or 110466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 1220119068100 in words is "one trillion, two hundred twenty billion, one hundred nineteen million, sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110459 220918 441836 552295 1104590 2209180 2761475 5522950 11045900 12201190681 24402381362 48804762724 61005953405 122011906810 244023813620 305029767025 610059534050 1220119068100