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23333032120002 = 23115918733199171
BaseRepresentation
bin1010100111000101001010…
…00101110100111011000010
310001121121122010102100220220
411103202211011310323002
511024242022210320002
6121343014051443510
74625520200421243
oct523424505647302
9101547563370826
1023333032120002
117486535382740
12274a1212b6596
1310033ac256a77
145a94792a8cca
152a6e2bb9d7bc
hex1538a5174ec2

23333032120002 has 64 divisors (see below), whose sum is σ = 51798945553920. Its totient is φ = 6947061638400.

The previous prime is 23333032120001. The next prime is 23333032120087. The reversal of 23333032120002 is 20002123033332.

It is not an unprimeable number, because it can be changed into a prime (23333032120001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5693877 + ... + 8893047.

It is an arithmetic number, because the mean of its divisors is an integer number (809358524280).

Almost surely, 223333032120002 is an apocalyptic number.

23333032120002 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 23333032120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899472776960).

23333032120002 is an abundant number, since it is smaller than the sum of its proper divisors (28465913433918).

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

23333032120002 is a wasteful number, since it uses less digits than its factorization.

23333032120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201119.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23333032120002 its reverse (20002123033332), we get a palindrome (43335155153334).

The spelling of 23333032120002 in words is "twenty-three trillion, three hundred thirty-three billion, thirty-two million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1873 1947 3746 3894 5619 11238 20603 41206 61809 110507 123618 221014 331521 663042 1215577 2431154 3199171 3646731 6398342 7293462 9597513 19195026 35190881 70381762 105572643 188751089 211145286 377502178 566253267 1132506534 2076261979 4152523958 5992047283 6228785937 11984094566 12457571874 17976141849 35952283698 65912520113 131825040226 197737560339 353530789697 395475120678 707061579394 1060592369091 2121184738182 3888838686667 7777677373334 11666516060001 23333032120002