Search a number
-
+
100101121420314 = 23721228927706079
BaseRepresentation
bin10110110000101010011011…
…110010001010110000011010
3111010102120111021002221000010
4112300222123302022300122
5101110024044040422224
6552521453105422350
730041032051056600
oct2660523362126032
9433376437087003
10100101121420314
1129993713457a23
12b28832703a9b6
1343b16590960b1
141aa0cc4b89870
15b88cd71c1e29
hex5b0a9bc8ac1a

100101121420314 has 48 divisors (see below), whose sum is σ = 232907282668800. Its totient is φ = 28597992062976.

The previous prime is 100101121420277. The next prime is 100101121420361. The reversal of 100101121420314 is 413024121101001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10240074 + ... + 17466005.

It is an arithmetic number, because the mean of its divisors is an integer number (4852235055600).

Almost surely, 2100101121420314 is an apocalyptic number.

100101121420314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100101121420314 is an abundant number, since it is smaller than the sum of its proper divisors (132806161248486).

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

100101121420314 is a wasteful number, since it uses less digits than its factorization.

100101121420314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27718387 (or 27718380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 100101121420314 its reverse (413024121101001), we get a palindrome (513125242521315).

The spelling of 100101121420314 in words is "one hundred trillion, one hundred one billion, one hundred twenty-one million, four hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 12289 24578 36867 73734 86023 172046 258069 516138 602161 1204322 1806483 3612966 27706079 55412158 83118237 166236474 193942553 387885106 581827659 1163655318 1357597871 2715195742 4072793613 8145587226 340480004831 680960009662 1021440014493 2042880028986 2383360033817 4766720067634 7150080101451 14300160202902 16683520236719 33367040473438 50050560710157 100101121420314