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1201100080 = 245431013457
BaseRepresentation
bin100011110010111…
…0101010100110000
310002201002012120011
41013211311110300
54424440200310
6315103424304
741523116335
oct10745652460
93081065504
101201100080
11566a982a4
122962b5094
13161abb10b
14b573898c
15706a678a
hex47975530

1201100080 has 80 divisors (see below), whose sum is σ = 2886627744. Its totient is φ = 464486400.

The previous prime is 1201100071. The next prime is 1201100081. The reversal of 1201100080 is 800011021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1201100080.

It is not an unprimeable number, because it can be changed into a prime (1201100081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345712 + ... + 349168.

Almost surely, 21201100080 is an apocalyptic number.

1201100080 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 1201100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443313872).

1201100080 is an abundant number, since it is smaller than the sum of its proper divisors (1685527664).

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

1201100080 is a wasteful number, since it uses less digits than its factorization.

1201100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1201100080 is about 34656.8908011091. The cubic root of 1201100080 is about 1062.9831948485.

The spelling of 1201100080 in words is "one billion, two hundred one million, one hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 101 172 202 215 344 404 430 505 688 808 860 1010 1616 1720 2020 3440 3457 4040 4343 6914 8080 8686 13828 17285 17372 21715 27656 34570 34744 43430 55312 69140 69488 86860 138280 148651 173720 276560 297302 347440 349157 594604 698314 743255 1189208 1396628 1486510 1745785 2378416 2793256 2973020 3491570 5586512 5946040 6983140 11892080 13966280 15013751 27932560 30027502 60055004 75068755 120110008 150137510 240220016 300275020 600550040 1201100080