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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".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1163 2326 3489 4339 4652 5815 6978 8678 9304 11630 13017 13956 17356 17445 18608 21695 23260 26034 27912 34712 34890 43390 46520 52068 55824 65085 69424 69780 86780 93040 104136 130170 139560 173560 208272 260340 279120 347120 520680 1041360 5046257 10092514 15138771 20185028 25231285 30277542 40370056 50462570 60555084 75693855 80740112 100925140 121110168 151387710 201850280 242220336 302775420 403700560 605550840 1211101680