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10210326076132 = 22713212740274219
BaseRepresentation
bin1001010010010100011011…
…0110111101101011100100
31100011002122011211221210221
42110211012312331223210
52314241221433414012
633414320430454124
72102446253446450
oct224450666755344
940132564757727
1010210326076132
1132871a1984036
12118a9b5664344
13590aa2892900
1427427a7b3660
1512a8d9bd5507
hex94946dbdae4

10210326076132 has 144 divisors (see below), whose sum is σ = 22297234391040. Its totient is φ = 4005499994496.

The previous prime is 10210326076099. The next prime is 10210326076253. The reversal of 10210326076132 is 23167062301201.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2420079919 + ... + 2420084137.

Almost surely, 210210326076132 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 10210326076132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148617195520).

10210326076132 is an abundant number, since it is smaller than the sum of its proper divisors (12086908314908).

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

10210326076132 is a wasteful number, since it uses less digits than its factorization.

10210326076132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8395 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 10210326076132 its reverse (23167062301201), we get a palindrome (33377388377333).

The spelling of 10210326076132 in words is "ten trillion, two hundred ten billion, three hundred twenty-six million, seventy-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 127 169 182 254 338 364 508 676 889 1183 1651 1778 2366 3302 3556 4027 4219 4732 6604 8054 8438 11557 16108 16876 21463 23114 28189 29533 42926 46228 52351 54847 56378 59066 85852 104702 109694 112756 118132 150241 209404 219388 300482 366457 383929 511429 535813 600964 680563 713011 732914 767858 1022858 1071626 1361126 1426022 1465828 1535716 2045716 2143252 2722252 2852044 3580003 3750691 4763941 4991077 6648577 6965569 7160006 7501382 9527882 9982154 13297154 13931138 14320012 15002764 16989913 19055764 19964308 26594308 27862276 33979826 46540039 48758983 67959652 86431501 90552397 93080078 97517966 118929391 172863002 181104794 186160156 195035932 220868869 237858782 345726004 362209588 441737738 475717564 605020507 633866779 883475476 1210041014 1267733558 1546082083 2157718951 2420082028 2535467116 2871295297 3092164166 4315437902 5742590594 6184328332 8630875804 11485181188 15104032657 20099067079 28050346363 30208065314 40198134158 56100692726 60416130628 80396268316 112201385452 196352424541 364654502719 392704849082 729309005438 785409698164 1458618010876 2552581519033 5105163038066 10210326076132