Search a number
1211101680 = 243511634339
BaseRepresentation
bin100100000101111…
…1111000111110000
310010101220100011210
41020023333013300
54440020223210
6320102040120
742004123455
oct11013770760
93111810153
101211101680
115716a9688
12299719040
13163bb0619
14b6bbd82c
15714cee20
hex482ff1f0

1211101680 has 80 divisors (see below), whose sum is σ = 3758509440. Its totient is φ = 322608384.

The previous prime is 1211101663. The next prime is 1211101711. The reversal of 1211101680 is 861011121.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276951 + ... + 281289.

It is an arithmetic number, because the mean of its divisors is an integer number (46981368).

Almost surely, 21211101680 is an apocalyptic number.

1211101680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211101680 is an abundant number, since it is smaller than the sum of its proper divisors (2547407760).

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

1211101680 is a wasteful number, since it uses less digits than its factorization.

1211101680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

The square root of 1211101680 is about 34800.8861956129. The cubic root of 1211101680 is about 1065.9255416057.

The spelling of 1211101680 in words is "one billion, two hundred eleven million, one hundred one thousand, six hundred eighty".