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101195055 = 33513232109
BaseRepresentation
bin1100000100000…
…01110100101111
321001102020112000
412002001310233
5201401220210
614012543343
72336100213
oct602016457
9231366460
10101195055
1152138385
1229a81b53
1317c71740
14d622943
158d3dac0
hex6081d2f

101195055 has 96 divisors (see below), whose sum is σ = 204388800. Its totient is φ = 47215872.

The previous prime is 101195053. The next prime is 101195057. The reversal of 101195055 is 550591101.

It is an interprime number because it is at equal distance from previous prime (101195053) and next prime (101195057).

It is not a de Polignac number, because 101195055 - 21 = 101195053 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101195051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 928341 + ... + 928449.

It is an arithmetic number, because the mean of its divisors is an integer number (2129050).

Almost surely, 2101195055 is an apocalyptic number.

101195055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101195055 is an abundant number, since it is smaller than the sum of its proper divisors (103193745).

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

101195055 is a wasteful number, since it uses less digits than its factorization.

101195055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The square root of 101195055 is about 10059.5752892456. The cubic root of 101195055 is about 466.0005510625. Note that the first 3 decimals are identical.

The spelling of 101195055 in words is "one hundred one million, one hundred ninety-five thousand, fifty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 109 115 117 135 195 207 299 327 345 351 529 545 585 621 897 981 1035 1417 1495 1587 1635 1755 2507 2645 2691 2943 3105 4251 4485 4761 4905 6877 7085 7521 7935 8073 12535 12753 13455 14283 14715 20631 21255 22563 23805 32591 34385 37605 38259 40365 57661 61893 63765 67689 71415 97773 103155 112815 162955 172983 185679 191295 288305 293319 309465 338445 488865 518949 749593 864915 879957 928395 1466595 1556847 2248779 2594745 3747965 4399785 6746337 7784235 11243895 20239011 33731685 101195055