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101978214705 = 355372268451
BaseRepresentation
bin101111011111001100…
…0000001000100110001
3100202020001000001200000
41132332120001010301
53132322410332310
6114503111020213
710240054344213
oct1367630010461
9322201001600
10101978214705
113a281053094
121792036a669
1398025c9ba3
144d15a885b3
1529bcc474c0
hex17be601131

101978214705 has 48 divisors (see below), whose sum is σ = 188263368384. Its totient is φ = 52918401600.

The previous prime is 101978214691. The next prime is 101978214707. The reversal of 101978214705 is 507412879101.

It is a happy number.

101978214705 is a `hidden beast` number, since 10 + 1 + 97 + 82 + 1 + 470 + 5 = 666.

It is not a de Polignac number, because 101978214705 - 27 = 101978214577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101978214707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089271 + ... + 1179180.

It is an arithmetic number, because the mean of its divisors is an integer number (3922153508).

Almost surely, 2101978214705 is an apocalyptic number.

101978214705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101978214705 is a deficient number, since it is larger than the sum of its proper divisors (86285153679).

101978214705 is an equidigital number, since it uses as much as digits as its factorization.

101978214705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268508 (or 2268496 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 101978214705 in words is "one hundred one billion, nine hundred seventy-eight million, two hundred fourteen thousand, seven hundred five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 243 333 405 555 999 1215 1665 2997 4995 8991 14985 44955 2268451 6805353 11342255 20416059 34026765 61248177 83932687 102080295 183744531 251798061 306240885 419663435 551233593 755394183 918722655 1258990305 2266182549 2756167965 3776970915 6798547647 11330912745 20395642941 33992738235 101978214705