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10312641326512 = 2472411132839171
BaseRepresentation
bin1001011000010001100101…
…0100101010110110110000
31100111212201201001012111201
42112010121110222312300
52322430242134422022
633533321221420544
72113030602644200
oct226043124526660
940455651035451
1010312641326512
1133166261a6aa8
1211a67aa86a754
1359a629c56a95
142791c5112400
1512d3c7305127
hex9611952adb0

10312641326512 has 120 divisors (see below), whose sum is σ = 24020519432112. Its totient is φ = 4273745817600.

The previous prime is 10312641326501. The next prime is 10312641326521. The reversal of 10312641326512 is 21562314621301.

It is a super-2 number, since 2×103126413265122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212687 + ... + 5051857.

Almost surely, 210312641326512 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 10312641326512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010259716056).

10312641326512 is an abundant number, since it is smaller than the sum of its proper divisors (13707878105600).

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

10312641326512 is a wasteful number, since it uses less digits than its factorization.

10312641326512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839347 (or 2839334 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 10312641326512 its reverse (21562314621301), we get a palindrome (31874955947813).

The spelling of 10312641326512 in words is "ten trillion, three hundred twelve billion, six hundred forty-one million, three hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 113 164 196 226 287 328 392 452 574 656 784 791 904 1148 1582 1808 2009 2296 3164 4018 4592 4633 5537 6328 8036 9266 11074 12656 16072 18532 22148 32144 32431 37064 44296 64862 74128 88592 129724 227017 259448 454034 518896 908068 1816136 2839171 3632272 5678342 11356684 19874197 22713368 39748394 45426736 79496788 116406011 139119379 158993576 232812022 278238758 317987152 320826323 465624044 556477516 641652646 814842077 931248088 1112955032 1283305292 1629684154 1862496176 2225910064 2245784261 2566610584 3259368308 4491568522 5133221168 5703894539 6518736616 8983137044 11407789078 13037473232 13153879243 15720489827 17966274088 22815578156 26307758486 31440979654 35932548176 45631156312 52615516972 62881959308 91262312624 92077154701 105231033944 125763918616 184154309402 210462067888 251527837232 368308618804 644540082907 736617237608 1289080165814 1473234475216 2578160331628 5156320663256 10312641326512