Search a number
-
+
100301426331727 = 1012934993678823
BaseRepresentation
bin10110110011100100111110…
…111000110001000001001111
3111011010201111212010201022211
4112303210332320301001033
5101121314310120103402
6553153501131051251
730061352563530265
oct2663447670610117
9434121455121284
10100301426331727
1129a60661347625
12b2bb1088a0b27
1343c74cb61270a
141aaa88755c435
15b8e10c2c54d7
hex5b393ee3104f

100301426331727 has 16 divisors (see below), whose sum is σ = 101660731115328. Its totient is φ = 98949439180800.

The previous prime is 100301426331721. The next prime is 100301426331731. The reversal of 100301426331727 is 727133624103001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100301426331727 - 23 = 100301426331719 is a prime.

It is a super-2 number, since 2×1003014263317272 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100301426331727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301426331721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147418438 + ... + 148097260.

It is an arithmetic number, because the mean of its divisors is an integer number (6353795694708).

Almost surely, 2100301426331727 is an apocalyptic number.

100301426331727 is a deficient number, since it is larger than the sum of its proper divisors (1359304783601).

100301426331727 is a wasteful number, since it uses less digits than its factorization.

100301426331727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684210.

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 100301426331727 in words is "one hundred trillion, three hundred one billion, four hundred twenty-six million, three hundred thirty-one thousand, seven hundred twenty-seven".

Divisors: 1 101 293 4993 29593 504293 678823 1462949 68561123 147757849 198895139 3389363239 20088409039 342325687139 993083429027 100301426331727