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23330144103332 = 22113192231034239
BaseRepresentation
bin1010100110111111110001…
…11100111010101110100100
310001121100011212002220211112
411103133320330322232210
511024220113342301312
6121341415323324152
74625355501610463
oct523377074725644
9101540155086745
1023330144103332
117485293149000
122749656080658
13100303bb20571
145a92838d29da
152a6d0d379d22
hex1537f8f3aba4

23330144103332 has 96 divisors (see below), whose sum is σ = 47483034009600. Its totient is φ = 10001412416160.

The previous prime is 23330144103257. The next prime is 23330144103341.

23330144103332 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22040669 + ... + 23074907.

It is an arithmetic number, because the mean of its divisors is an integer number (494614937600).

Almost surely, 223330144103332 is an apocalyptic number.

23330144103332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23330144103332 is an abundant number, since it is smaller than the sum of its proper divisors (24152889906268).

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

23330144103332 is a wasteful number, since it uses less digits than its factorization.

23330144103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034518 (or 1034494 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 2333014 and 4103332, that added together give a palindrome (6436346).

The spelling of 23330144103332 in words is "twenty-three trillion, three hundred thirty billion, one hundred forty-four million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 223 242 418 446 484 836 892 1331 2299 2453 2662 4237 4598 4906 5324 8474 9196 9812 16948 25289 26983 46607 50578 53966 93214 101156 107932 186428 296813 512677 593626 1025354 1034239 1187252 2050708 2068478 4136956 5639447 11278894 11376629 19650541 22557788 22753258 39301082 45506516 78602164 125142919 216155951 230635297 250285838 432311902 461270594 500571676 864623804 922541188 1376572109 2377715461 2536988267 2753144218 4382070643 4755430922 5073976534 5506288436 8764141286 9510861844 10147953068 17528282572 26154870071 27906870937 48202777073 52309740142 55813741874 96405554146 104619480284 111627483748 192811108292 306975580307 530230547803 613951160614 1060461095606 1227902321228 2120922191212 5832536025833 11665072051666 23330144103332