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232124421232 = 241123911874649
BaseRepresentation
bin1101100000101110110…
…0011001010001110000
3211012011011001100221101
43120023230121101300
512300342322434412
6254345251534144
722525155011524
oct3301354312160
9735134040841
10232124421232
118a497203360
1238ba1bba354
1318b73872a52
14b340731d84
15608883b457
hex360bb19470

232124421232 has 80 divisors (see below), whose sum is σ = 493200576000. Its totient is φ = 104958533120.

The previous prime is 232124421169. The next prime is 232124421239.

232124421232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232124421232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232124421239) 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 15 ways as a sum of consecutive naturals, for example, 49927644 + ... + 49932292.

It is an arithmetic number, because the mean of its divisors is an integer number (6165007200).

Almost surely, 2232124421232 is an apocalyptic number.

232124421232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232124421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246600288000).

232124421232 is an abundant number, since it is smaller than the sum of its proper divisors (261076154768).

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

232124421232 is a wasteful number, since it uses less digits than its factorization.

232124421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 6088 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 232124 and 421232, that added together give a palindrome (653356).

The spelling of 232124421232 in words is "two hundred thirty-two billion, one hundred twenty-four million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1187 1912 2374 2629 3824 4649 4748 5258 9298 9496 10516 13057 18596 18992 21032 26114 37192 42064 51139 52228 74384 102278 104456 204556 208912 283693 409112 567386 818224 1111111 1134772 2222222 2269544 3120623 4444444 4539088 5518363 6241246 8888888 11036726 12222221 12482492 17777776 22073452 24444442 24964984 44146904 48888884 49929968 60701993 88293808 97777768 121403986 195555536 242807972 485615944 971231888 1318888757 2637777514 5275555028 10551110056 14507776327 21102220112 29015552654 58031105308 116062210616 232124421232