Search a number
-
+
100001120000109 = 31943191857249257
BaseRepresentation
bin10110101111001101010011…
…001111000001100001101101
3111010002000100222210102121020
4112233031103033001201231
5101101404243210000414
6552403514052124353
730030561656034546
oct2657152317014155
9433060328712536
10100001120000109
11299552672418a9
12b270a789066b9
1343a50b01aa0c3
141a9a1198794cd
15b863d2ca67a9
hex5af3533c186d

100001120000109 has 64 divisors (see below), whose sum is σ = 144537415925760. Its totient is φ = 61294961710080.

The previous prime is 100001120000087. The next prime is 100001120000123. The reversal of 100001120000109 is 901000021100001.

It is not a de Polignac number, because 100001120000109 - 27 = 100001119999981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001120000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401072209 + ... + 401321465.

It is an arithmetic number, because the mean of its divisors is an integer number (2258397123840).

Almost surely, 2100001120000109 is an apocalyptic number.

100001120000109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100001120000109 is a deficient number, since it is larger than the sum of its proper divisors (44536295925651).

100001120000109 is a wasteful number, since it uses less digits than its factorization.

100001120000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250370.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 100001120000109 in words is "one hundred trillion, one billion, one hundred twenty million, one hundred nine", and thus it is an aban number.

Divisors: 1 3 19 43 57 129 191 573 817 857 2451 2571 3629 8213 10887 16283 24639 36851 48849 110553 156047 163687 249257 468141 491061 700169 747771 2100507 3110053 4735883 7038541 9330159 10718051 14207649 21115623 32154153 47608087 133732279 142824261 203642969 213613249 401196837 610928907 640839747 904553653 2047147741 2713660959 4058651731 6141443223 9185369707 12175955193 27556109121 38895807079 40800130559 116687421237 122400391677 174522024433 523566073299 775202480621 1754405614037 2325607441863 5263216842111 33333706666703 100001120000109