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213232646232312 = 23373196813970339
BaseRepresentation
bin110000011110111100011000…
…001000100001100011111000
31000221222211201202001201000120
4300132330120020201203320
5210422100424413413222
62033301420402133240
762625356516406120
oct6036743010414370
91027884652051016
10213232646232312
1161a4050391a823
121bab9ab9951220
1391c99a193a995
143a9272d7adc80
15199ba0cc8815c
hexc1ef182218f8

213232646232312 has 64 divisors (see below), whose sum is σ = 609238191302400. Its totient is φ = 60923407288320.

The previous prime is 213232646232283. The next prime is 213232646232323.

213232646232312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2132326462323122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51721239 + ... + 55691577.

It is an arithmetic number, because the mean of its divisors is an integer number (9519346739100).

Almost surely, 2213232646232312 is an apocalyptic number.

It is an amenable number.

213232646232312 is an abundant number, since it is smaller than the sum of its proper divisors (396005545070088).

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

213232646232312 is a wasteful number, since it uses less digits than its factorization.

213232646232312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290036 (or 4290032 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 213232646232312 in words is "two hundred thirteen trillion, two hundred thirty-two billion, six hundred forty-six million, two hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 319681 639362 959043 1278724 1918086 2237767 2557448 3836172 3970339 4475534 6713301 7672344 7940678 8951068 11911017 13426602 15881356 17902136 23822034 26853204 27792373 31762712 47644068 53706408 55584746 83377119 95288136 111169492 166754238 222338984 333508476 667016952 1269241941859 2538483883718 3807725825577 5076967767436 7615451651154 8884693593013 10153935534872 15230903302308 17769387186026 26654080779039 30461806604616 35538774372052 53308161558078 71077548744104 106616323116156 213232646232312