Search a number
-
+
13186813320120 = 23351110198910991
BaseRepresentation
bin1011111111100100101101…
…0100101101101110111000
31201200122110200201110122210
42333321023110231232320
53212023043202220440
644013534410215120
72530500345541506
oct277711324555670
951618420643583
1013186813320120
114224550381150
12158b8391244a0
1374868503341b
14338360a65676
1517d0450d1a80
hexbfe4b52dbb8

13186813320120 has 128 divisors (see below), whose sum is σ = 43584139514880. Its totient is φ = 3165151680000.

The previous prime is 13186813320091. The next prime is 13186813320127. The reversal of 13186813320120 is 2102331868131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13186813320127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49322176 + ... + 49588815.

It is an arithmetic number, because the mean of its divisors is an integer number (340501089960).

Almost surely, 213186813320120 is an apocalyptic number.

13186813320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13186813320120 is an abundant number, since it is smaller than the sum of its proper divisors (30397326194760).

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

13186813320120 is a wasteful number, since it uses less digits than its factorization.

13186813320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98911117 (or 98911113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 13186813320120 in words is "thirteen trillion, one hundred eighty-six billion, eight hundred thirteen million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 98910991 197821982 296732973 395643964 494554955 593465946 791287928 989109910 1088020901 1186931892 1483664865 1978219820 2176041802 2373863784 2967329730 3264062703 3956439640 4352083604 5440104505 5934659460 6528125406 8704167208 9990010091 10880209010 11869318920 13056250812 16320313515 19980020182 21760418020 26112501624 29970030273 32640627030 39960040364 43520836040 49950050455 59940060546 65281254060 79920080728 99900100910 109890111001 119880121092 130562508120 149850151365 199800201820 219780222002 239760242184 299700302730 329670333003 399600403640 439560444004 549450555005 599400605460 659340666006 879120888008 1098901110010 1198801210920 1318681332012 1648351665015 2197802220020 2637362664024 3296703330030 4395604440040 6593406660060 13186813320120