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20233111133202 = 2311194353101191367
BaseRepresentation
bin1001001100110111000110…
…11001101101110000010010
32122122021012022012000221220
410212123203121231300102
510122444402422230302
6111010543554425510
74155536232661632
oct446334331556022
978567168160856
1020233111133202
1164a08a5838730
12232938bb92296
13b39c883c0606
144dd405a3c6c2
1525149a12b4bc
hex1266e366dc12

20233111133202 has 512 divisors, whose sum is σ = 49316033986560. Its totient is φ = 5467512960000.

The previous prime is 20233111133119. The next prime is 20233111133227.

20233111133202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×202331111332022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55131092823 + ... + 55131093189.

It is an arithmetic number, because the mean of its divisors is an integer number (96320378880).

Almost surely, 220233111133202 is an apocalyptic number.

20233111133202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233111133202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24658016993280).

20233111133202 is an abundant number, since it is smaller than the sum of its proper divisors (29082922853358).

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

20233111133202 is a wasteful number, since it uses less digits than its factorization.

20233111133202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2023311 and 1133202, that added together give a palindrome (3156513).

The spelling of 20233111133202 in words is "twenty trillion, two hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, two hundred two".