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211142233302 = 237111337953997
BaseRepresentation
bin1100010010100100001…
…1101100110011010110
3202011222212100210010220
43010221003230303112
511424404402431202
6240555234455210
721153205241130
oct3045103546326
9664885323126
10211142233302
11815aa316a80
1234b07134506
1316bab856530
14a30dc18050
15575b75babc
hex31290eccd6

211142233302 has 256 divisors, whose sum is σ = 583502911488. Its totient is φ = 49154273280.

The previous prime is 211142233283. The next prime is 211142233303. The reversal of 211142233302 is 203332241112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211142233303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211777068 + ... + 211778064.

It is an arithmetic number, because the mean of its divisors is an integer number (2279308248).

Almost surely, 2211142233302 is an apocalyptic number.

211142233302 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 211142233302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291751455744).

211142233302 is an abundant number, since it is smaller than the sum of its proper divisors (372360678186).

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

211142233302 is a wasteful number, since it uses less digits than its factorization.

211142233302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 211142233302 its reverse (203332241112), we get a palindrome (414474474414).

It can be divided in two parts, 211142 and 233302, that added together give a palindrome (444444).

The spelling of 211142233302 in words is "two hundred eleven billion, one hundred forty-two million, two hundred thirty-three thousand, three hundred two".