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10321001330232 = 23319157811177761
BaseRepresentation
bin1001011000110000101110…
…0111100011011000111000
31100112200022022212101200010
42112030023213203120320
52323044402320031412
633541222541341520
72113445014544655
oct226141347433070
940480268771603
1010321001330232
11331a12620158a
1211a83425678a0
1359b35cc46548
1427977952cc2c
1512d71621333c
hex9630b9e3638

10321001330232 has 128 divisors (see below), whose sum is σ = 27367384262400. Its totient is φ = 3234492518400.

The previous prime is 10321001330203. The next prime is 10321001330317. The reversal of 10321001330232 is 23203310012301.

It is a junction number, because it is equal to n+sod(n) for n = 10321001330199 and 10321001330208.

It is a congruent number.

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, 57972232 + ... + 58149992.

It is an arithmetic number, because the mean of its divisors is an integer number (213807689550).

Almost surely, 210321001330232 is an apocalyptic number.

10321001330232 is a gapful number since it is divisible by the number (12) 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 10321001330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683692131200).

10321001330232 is an abundant number, since it is smaller than the sum of its proper divisors (17046382932168).

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

10321001330232 is a wasteful number, since it uses less digits than its factorization.

10321001330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178757 (or 178753 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10321001330232 its reverse (23203310012301), we get a palindrome (33524311342533).

The spelling of 10321001330232 in words is "ten trillion, three hundred twenty-one billion, one million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 157 228 314 456 471 628 811 942 1256 1622 1884 2433 2983 3244 3768 4866 5966 6488 8949 9732 11932 15409 17898 19464 23864 30818 35796 46227 61636 71592 92454 123272 127327 177761 184908 254654 355522 369816 381981 509308 533283 711044 763962 1018616 1066566 1422088 1527924 2133132 2419213 3055848 3377459 4266264 4838426 6754918 7257639 9676852 10132377 13509836 14515278 19353704 20264754 27019672 27908477 29030556 40529508 55816954 58061112 81059016 83725431 111633908 144164171 167450862 223267816 288328342 334901724 432492513 530261063 576656684 669803448 864985026 1060522126 1153313368 1590783189 1729970052 2121044252 2739119249 3181566378 3459940104 4242088504 5478238498 6363132756 8217357747 10956476996 12726265512 16434715494 21912953992 22633774847 32869430988 45267549694 65738861976 67901324541 90535099388 135802649082 181070198776 271605298164 430041722093 543210596328 860083444186 1290125166279 1720166888372 2580250332558 3440333776744 5160500665116 10321001330232