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23314200241332 = 223711133752457003
BaseRepresentation
bin1010100110100010000101…
…00111111010010010110100
310001112211000200220210220010
411103101002213322102310
511023434440230210312
6121330221251140220
74624252421201010
oct523210247722264
9101484020823803
1023314200241332
117479551266550
1227465465a4670
13100169a8914b0
145a85b01b5540
152a66c877293c
hex1534429fa4b4

23314200241332 has 192 divisors, whose sum is σ = 75014355032064. Its totient is φ = 5438741967360.

The previous prime is 23314200241261. The next prime is 23314200241349.

It is a happy number.

23314200241332 is nontrivially palindromic in base 10.

23314200241332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233142002413322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23314200241332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25784058 + ... + 26672945.

It is an arithmetic number, because the mean of its divisors is an integer number (390699765792).

Almost surely, 223314200241332 is an apocalyptic number.

23314200241332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23314200241332 is an abundant number, since it is smaller than the sum of its proper divisors (51700154790732).

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

23314200241332 is a wasteful number, since it uses less digits than its factorization.

23314200241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52457078 (or 52457076 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 23314200 and 241332, that added together give a palindrome (23555532).

The spelling of 23314200241332 in words is "twenty-three trillion, three hundred fourteen billion, two hundred million, two hundred forty-one thousand, three hundred thirty-two".