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100005055095 = 351110320272903
BaseRepresentation
bin101110100100011000…
…1000000101001110111
3100120010112011011112110
41131020301000221313
53114302243230340
6113535223222103
710140134641251
oct1351061005167
9316115134473
10100005055095
1139459279070
121746b5a7933
13957988c61a
144ba99b8cd1
1529048d7680
hex1748c40a77

100005055095 has 64 divisors (see below), whose sum is σ = 176396673024. Its totient is φ = 47976328320.

The previous prime is 100005055093. The next prime is 100005055097. The reversal of 100005055095 is 590550500001.

It is an interprime number because it is at equal distance from previous prime (100005055093) and next prime (100005055097).

It is not a de Polignac number, because 100005055095 - 21 = 100005055093 is a prime.

It is a super-2 number, since 2×1000050550952 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005055091) 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 63 ways as a sum of consecutive naturals, for example, 34447414 + ... + 34450316.

It is an arithmetic number, because the mean of its divisors is an integer number (2756198016).

Almost surely, 2100005055095 is an apocalyptic number.

100005055095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100005055095 is a deficient number, since it is larger than the sum of its proper divisors (76391617929).

100005055095 is a wasteful number, since it uses less digits than its factorization.

100005055095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052.

The product of its (nonzero) digits is 5625, while the sum is 30.

Adding to 100005055095 its reverse (590550500001), we get a palindrome (690555555096).

The spelling of 100005055095 in words is "one hundred billion, five million, fifty-five thousand, ninety-five".

Divisors: 1 3 5 11 15 33 55 103 165 309 515 1133 1545 2027 2903 3399 5665 6081 8709 10135 14515 16995 22297 30405 31933 43545 66891 95799 111485 159665 208781 299009 334455 478995 626343 897027 1043905 1495045 2296591 3131715 3289099 4485135 5884381 6889773 9867297 11482955 16445495 17653143 29421905 34448865 49336485 64728191 88265715 194184573 323640955 606091243 970922865 1818273729 3030456215 6667003673 9091368645 20001011019 33335018365 100005055095