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10131301213232 = 24171391571706797
BaseRepresentation
bin1001001101101110000010…
…0111000010010000110000
31022212112122210121222102212
42103123200213002100300
52311442401102310412
633314131105431252
72063651042264243
oct223334047022060
938775583558385
1010131301213232
11325672a459991
12117762033b528
135864ba7a12c4
1427050135325a
15128812136222
hex936e09c2430

10131301213232 has 80 divisors (see below), whose sum is σ = 21066939442080. Its totient is φ = 4703219748864.

The previous prime is 10131301213193. The next prime is 10131301213259. The reversal of 10131301213232 is 23231210313101.

It is a junction number, because it is equal to n+sod(n) for n = 10131301213198 and 10131301213207.

It is an unprimeable number.

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, 5082458 + ... + 6789254.

It is an arithmetic number, because the mean of its divisors is an integer number (263336743026).

Almost surely, 210131301213232 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 10131301213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533469721040).

10131301213232 is an abundant number, since it is smaller than the sum of its proper divisors (10935638228848).

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

10131301213232 is a wasteful number, since it uses less digits than its factorization.

10131301213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707118 (or 1707112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10131301213232 its reverse (23231210313101), we get a palindrome (33362511526333).

The spelling of 10131301213232 in words is "ten trillion, one hundred thirty-one billion, three hundred one million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 139 157 272 278 314 556 628 1112 1256 2224 2363 2512 2669 4726 5338 9452 10676 18904 21352 21823 37808 42704 43646 87292 174584 349168 370991 741982 1483964 1706797 2967928 3413594 5935856 6827188 13654376 27308752 29015549 58031098 116062196 232124392 237244783 267967129 464248784 474489566 535934258 948979132 1071868516 1897958264 2143737032 3795916528 4033161311 4287474064 4555441193 8066322622 9110882386 16132645244 18221764772 32265290488 36443529544 37247430931 64530580976 72887059088 74494861862 148989723724 297979447448 595958894896 633206325827 1266412651654 2532825303308 5065650606616 10131301213232