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102006053655 = 351131310391901
BaseRepresentation
bin101111100000000001…
…0001101101100010111
3100202021222101102112020
41133000002031230113
53132402022204110
6114505543424223
710240543102302
oct1370002155427
9322258342466
10102006053655
113a295837990
1217929755073
1398082c633c
144d19653b39
1529c03e5d70
hex17c008db17

102006053655 has 64 divisors (see below), whose sum is σ = 178881730560. Its totient is φ = 49226112000.

The previous prime is 102006053623. The next prime is 102006053693. The reversal of 102006053655 is 556350600201.

It is not a de Polignac number, because 102006053655 - 25 = 102006053623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 53658205 + ... + 53660105.

It is an arithmetic number, because the mean of its divisors is an integer number (2795027040).

Almost surely, 2102006053655 is an apocalyptic number.

102006053655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102006053655 is a deficient number, since it is larger than the sum of its proper divisors (76875676905).

102006053655 is a wasteful number, since it uses less digits than its factorization.

102006053655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 102006053655 its reverse (556350600201), we get a palindrome (658356653856).

The spelling of 102006053655 in words is "one hundred two billion, six million, fifty-three thousand, six hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 165 313 939 1039 1565 1901 3117 3443 4695 5195 5703 9505 10329 11429 15585 17215 20911 28515 34287 51645 57145 62733 104555 171435 313665 325207 595013 975621 1626035 1785039 1975139 2975065 3577277 4878105 5925417 6545143 8925195 9875695 10731831 17886385 19635429 21726529 29627085 32725715 53659155 65179587 98177145 108632645 325897935 618218507 1854655521 3091092535 6800403577 9273277605 20401210731 34002017885 102006053655