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233141100012 = 22335954167631
BaseRepresentation
bin1101100100100001001…
…0101101110111101100
3211021210000010000001000
43121020102231313230
512304433110200022
6255034210520300
722562311436562
oct3311022556754
9737700100030
10233141100012
118a969089157
1239226596090
1318ca639c722
14b3d9781a32
1560e7c146ac
hex36484addec

233141100012 has 96 divisors (see below), whose sum is σ = 615829939200. Its totient is φ = 76254177600.

The previous prime is 233141099927. The next prime is 233141100019. The reversal of 233141100012 is 210001141332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (233141100019) 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, 3413437 + ... + 3481067.

It is an arithmetic number, because the mean of its divisors is an integer number (6414895200).

Almost surely, 2233141100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233141100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307914969600).

233141100012 is an abundant number, since it is smaller than the sum of its proper divisors (382688839188).

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

233141100012 is a wasteful number, since it uses less digits than its factorization.

233141100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68244 (or 68236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 233141100012 its reverse (210001141332), we get a palindrome (443142241344).

The spelling of 233141100012 in words is "two hundred thirty-three billion, one hundred forty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 541 708 1062 1082 1593 1623 2124 2164 3186 3246 4869 6372 6492 9738 14607 19476 29214 31919 58428 63838 67631 95757 127676 135262 191514 202893 270524 287271 383028 405786 574542 608679 811572 861813 1149084 1217358 1723626 1826037 2434716 3447252 3652074 3990229 7304148 7980458 11970687 15960916 23941374 35912061 36588371 47882748 71824122 73176742 107736183 109765113 143648244 146353484 215472366 219530226 329295339 430944732 439060452 658590678 987886017 1317181356 1975772034 2158713889 3951544068 4317427778 6476141667 8634855556 12952283334 19428425001 25904566668 38856850002 58285275003 77713700004 116570550006 233141100012