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20231200213202 = 211223434710117807
BaseRepresentation
bin1001001100110011100011…
…00000001000100011010010
32122122002021010110020112002
410212121301200020203102
510122431444223310302
6111010030213034002
74155441000301406
oct446316140104322
978562233406462
1020231200213202
1164a0005104200
122328b38025902
13b39a42535514
144dd2a3d31106
152513d74b2c02
hex1266718088d2

20231200213202 has 192 divisors, whose sum is σ = 36736127188992. Its totient is φ = 8325088464000.

The previous prime is 20231200213201. The next prime is 20231200213283.

It is a happy number.

20231200213202 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×202312002132023 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20231200213201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1136128583 + ... + 1136146389.

It is an arithmetic number, because the mean of its divisors is an integer number (191333995776).

Almost surely, 220231200213202 is an apocalyptic number.

20231200213202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20231200213202 is a deficient number, since it is larger than the sum of its proper divisors (16504926975790).

20231200213202 is a wasteful number, since it uses less digits than its factorization.

20231200213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18045 (or 18034 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 20231200 and 213202, that added together give a palindrome (20444402).

The spelling of 20231200213202 in words is "twenty trillion, two hundred thirty-one billion, two hundred million, two hundred thirteen thousand, two hundred two".