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100012113310 = 251571671792131
BaseRepresentation
bin101110100100100101…
…1111011110110011110
3100120011000102202120211
41131021023323312132
53114311100111220
6113540034403034
710140251636164
oct1351113736636
9316130382524
10100012113310
1139462259aaa
1217471a3047a
13957b191195
144baa8d5234
15290532db5a
hex17492fbd9e

100012113310 has 64 divisors (see below), whose sum is σ = 183357457920. Its totient is φ = 39272837760.

The previous prime is 100012113287. The next prime is 100012113323. The reversal of 100012113310 is 13311210001.

It is a super-2 number, since 2×1000121133102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46930945 + ... + 46933075.

It is an arithmetic number, because the mean of its divisors is an integer number (2864960280).

Almost surely, 2100012113310 is an apocalyptic number.

100012113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100012113310 is a deficient number, since it is larger than the sum of its proper divisors (83345344610).

100012113310 is a wasteful number, since it uses less digits than its factorization.

100012113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100012113310 its reverse (13311210001), we get a palindrome (113323323311).

The spelling of 100012113310 in words is "one hundred billion, twelve million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 157 167 179 314 334 358 785 835 895 1570 1670 1790 2131 4262 10655 21310 26219 28103 29893 52438 56206 59786 131095 140515 149465 262190 281030 298930 334567 355877 381449 669134 711754 762898 1672835 1779385 1907245 3345670 3558770 3814490 4693201 9386402 23466005 46932010 55872689 59887493 63701983 111745378 119774986 127403966 279363445 299437465 318509915 558726890 598874930 637019830 10001211331 20002422662 50006056655 100012113310