Search a number
-
+
130695811312 = 24112531273739
BaseRepresentation
bin111100110111000010…
…0111101000011110000
3110111100102020010022011
41321232010331003300
54120131111430222
6140012452452304
712304523031523
oct1715604750360
9414312203264
10130695811312
1150478418500
12213b591a094
13c42b0a84c1
14647ba72bba
1535edea9c77
hex1e6e13d0f0

130695811312 has 60 divisors (see below), whose sum is σ = 283588021080. Its totient is φ = 58286250880.

The previous prime is 130695811223. The next prime is 130695811313. The reversal of 130695811312 is 213118596031.

It is a super-2 number, since 2×1306958113122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130695811313) 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 11 ways as a sum of consecutive naturals, for example, 534262 + ... + 739477.

It is an arithmetic number, because the mean of its divisors is an integer number (4726467018).

Almost surely, 2130695811312 is an apocalyptic number.

It is an amenable number.

130695811312 is an abundant number, since it is smaller than the sum of its proper divisors (152892209768).

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

130695811312 is a wasteful number, since it uses less digits than its factorization.

130695811312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273822 (or 1273805 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 130695811312 in words is "one hundred thirty billion, six hundred ninety-five million, eight hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 848 968 1166 1936 2332 4664 6413 9328 12826 25652 51304 102608 1273739 2547478 5094956 10189912 14011129 20379824 28022258 56044516 67508167 112089032 135016334 154122419 224178064 270032668 308244838 540065336 616489676 742589837 1080130672 1232979352 1485179674 2465958704 2970359348 5940718696 8168488207 11881437392 16336976414 32673952828 65347905656 130695811312