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109870372089 = 3231323532
BaseRepresentation
bin110011001010011001…
…0001101010011111001
3101111121001111012022100
41212110302031103321
53300003303401324
6122250155214013
710636455516342
oct1462462152371
9344531435270
10109870372089
1142660a62805
1219363447309
13a48c6b18ba
145463cbd0c9
152cd0a3e4c9
hex1994c8d4f9

109870372089 has 27 divisors (see below), whose sum is σ = 159662600877. Its totient is φ = 72806063616.

The previous prime is 109870372067. The next prime is 109870372121. The reversal of 109870372089 is 980273078901.

The square root of 109870372089 is 331467.

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

It can be written as a sum of positive squares in 4 ways, for example, as 56509372089 + 53361000000 = 237717^2 + 231000^2 .

It is not a de Polignac number, because 109870372089 - 25 = 109870372057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109870372039) 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 26 ways as a sum of consecutive naturals, for example, 311247337 + ... + 311247689.

Almost surely, 2109870372089 is an apocalyptic number.

109870372089 is the 331467-th square number.

109870372089 is the 165734-th centered octagonal number.

It is an amenable number.

109870372089 is a deficient number, since it is larger than the sum of its proper divisors (49792228788).

109870372089 is an frugal number, since it uses more digits than its factorization.

109870372089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 109870372089 in words is "one hundred nine billion, eight hundred seventy million, three hundred seventy-two thousand, eighty-nine".

Divisors: 1 3 9 313 353 939 1059 2817 3177 97969 110489 124609 293907 331467 373827 881721 994401 1121481 34583057 39002617 103749171 117007851 311247513 351023553 12207819121 36623457363 109870372089