Search a number
-
+
13101203211320 = 235746790011469
BaseRepresentation
bin1011111010100101110010…
…0100000100010000111000
31201101110111101012100011102
42332221130210010100320
53204122231010230240
643510335404350532
72521350012611540
oct276513444042070
951343441170142
1013101203211320
1141a1209735314
121577126545448
13740590844c03
1433415cbb0320
1517abd4343815
hexbea5c904438

13101203211320 has 32 divisors (see below), whose sum is σ = 33688808258400. Its totient is φ = 4491841100928.

The previous prime is 13101203211277. The next prime is 13101203211431. The reversal of 13101203211320 is 2311230210131.

It is a happy number.

It is a super-2 number, since 2×131012032113202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13101203211292 and 13101203211301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23395005455 + ... + 23395006014.

It is an arithmetic number, because the mean of its divisors is an integer number (1052775258075).

Almost surely, 213101203211320 is an apocalyptic number.

13101203211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101203211320 is an abundant number, since it is smaller than the sum of its proper divisors (20587605047080).

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

13101203211320 is a wasteful number, since it uses less digits than its factorization.

13101203211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46790011487 (or 46790011483 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13101203211320 its reverse (2311230210131), we get a palindrome (15412433421451).

The spelling of 13101203211320 in words is "thirteen trillion, one hundred one billion, two hundred three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 46790011469 93580022938 187160045876 233950057345 327530080283 374320091752 467900114690 655060160566 935800229380 1310120321132 1637650401415 1871600458760 2620240642264 3275300802830 6550601605660 13101203211320