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2102413002102 = 233722777928603
BaseRepresentation
bin11110100110000001100…
…101001000010101110110
321102222200202222101211000
4132212001211020111312
5233421220212031402
64245500223024130
7304615516442100
oct36460145102566
97388622871730
102102413002102
117406a036a0a6
1229b565a3b046
13123344c628ba
1473a86196570
1539a4deaac1c
hex1e981948576

2102413002102 has 96 divisors (see below), whose sum is σ = 5435194780800. Its totient is φ = 600646805136.

The previous prime is 2102413002101. The next prime is 2102413002127. The reversal of 2102413002102 is 2012003142012.

It is a happy number.

2102413002102 is a `hidden beast` number, since 21 + 0 + 241 + 300 + 2 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102413002101) 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 47 ways as a sum of consecutive naturals, for example, 73488933 + ... + 73517535.

It is an arithmetic number, because the mean of its divisors is an integer number (56616612300).

Almost surely, 22102413002102 is an apocalyptic number.

2102413002102 is an abundant number, since it is smaller than the sum of its proper divisors (3332781778698).

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

2102413002102 is a wasteful number, since it uses less digits than its factorization.

2102413002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56407 (or 56394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102413002102 its reverse (2012003142012), we get a palindrome (4114416144114).

The spelling of 2102413002102 in words is "two trillion, one hundred two billion, four hundred thirteen million, two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 27779 28603 55558 57206 83337 85809 166674 171618 194453 200221 250011 257427 388906 400442 500022 514854 583359 600663 750033 772281 1166718 1201326 1361171 1401547 1500066 1544562 1750077 1801989 2722342 2803094 3500154 3603978 4083513 4204641 5250231 5405967 8167026 8409282 10500462 10811934 12250539 12613923 24501078 25227846 36751617 37841769 73503234 75683538 794562737 1589125474 2383688211 4767376422 5561939159 7151064633 11123878318 14302129266 16685817477 21453193899 33371634954 38933574113 42906387798 50057452431 77867148226 100114904862 116800722339 150172357293 233601444678 300344714586 350402167017 700804334034 1051206501051 2102413002102