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23333212130982 = 23132941733343237
BaseRepresentation
bin1010100111000101011111…
…10100100000111010100110
310001121122002200010212120020
411103202233310200322212
511024242404301142412
6121343044002020010
74625524514453505
oct523425764407246
9101548080125506
1023333212130982
117486617a52646
12274a171647606
13100340a632940
145a949516683c
152a6e3c8aa18c
hex1538afd20ea6

23333212130982 has 128 divisors (see below), whose sum is σ = 53329958962560. Its totient is φ = 6753566453760.

The previous prime is 23333212130957. The next prime is 23333212130983. The reversal of 23333212130982 is 28903121233332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23333212130983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67808268 + ... + 68151504.

It is an arithmetic number, because the mean of its divisors is an integer number (416640304395).

Almost surely, 223333212130982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23333212130982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26664979481280).

23333212130982 is an abundant number, since it is smaller than the sum of its proper divisors (29996746831578).

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

23333212130982 is a wasteful number, since it uses less digits than its factorization.

23333212130982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344058.

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 23333212130982 in words is "twenty-three trillion, three hundred thirty-three billion, two hundred twelve million, one hundred thirty thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 29 39 41 58 78 82 87 123 174 246 377 533 733 754 1066 1131 1189 1466 1599 2199 2262 2378 3198 3567 4398 7134 9529 15457 19058 21257 28587 30053 30914 42514 46371 57174 60106 63771 90159 92742 127542 180318 276341 343237 390689 552682 686474 781378 829023 871537 1029711 1172067 1658046 1743074 2059422 2344134 2614611 4462081 5229222 8924162 9953873 11329981 13386243 14072717 19907746 22659962 26772486 28145434 29861619 33989943 42218151 59723238 67979886 84436302 129400349 182945321 251592721 258800698 365890642 388201047 408108793 503185442 548835963 754778163 776402094 816217586 1097671926 1224326379 1509556326 2448652758 3270705373 5305414309 6541410746 7296188909 9812116119 10315301561 10610828618 14592377818 15916242927 19624232238 20630603122 21888566727 30945904683 31832485854 43777133454 61891809366 94850455817 134098920293 189700911634 268197840586 284551367451 299143745269 402296760879 569102734902 598287490538 804593521758 897431235807 1794862471614 3888868688497 7777737376994 11666606065491 23333212130982