Search a number
-
+
10212312101344 = 253159700124923
BaseRepresentation
bin1001010010011011110100…
…1111000011000111100000
31100011021202120220111020021
42110212331033003013200
52314304303344220334
633415245454123224
72102546420415433
oct224467517030740
940137676814207
1010212312101344
113288020a46191
12118b26a7b0514
1359102b186162
142743c847181a
1512a9a42373b4
hex949bd3c31e0

10212312101344 has 96 divisors (see below), whose sum is σ = 21109678894080. Its totient is φ = 4856799360000.

The previous prime is 10212312101317. The next prime is 10212312101363. The reversal of 10212312101344 is 44310121321201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409742067 + ... + 409766989.

It is an arithmetic number, because the mean of its divisors is an integer number (219892488480).

Almost surely, 210212312101344 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 10212312101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554839447040).

10212312101344 is an abundant number, since it is smaller than the sum of its proper divisors (10897366792736).

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

10212312101344 is a wasteful number, since it uses less digits than its factorization.

10212312101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32024 (or 32016 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10212312101344 its reverse (44310121321201), we get a palindrome (54522433422545).

The spelling of 10212312101344 in words is "ten trillion, two hundred twelve billion, three hundred twelve million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 59 62 118 124 236 248 472 496 944 992 1829 1888 3658 7001 7316 14002 14632 24923 28004 29264 49846 56008 58528 99692 112016 199384 217031 224032 398768 413059 434062 772613 797536 826118 868124 1470457 1545226 1652236 1736248 2940914 3090452 3304472 3472496 5881828 6180904 6608944 6944992 11763656 12361808 12804829 13217888 23527312 24723616 25609658 45584167 47054624 51219316 91168334 102438632 174485923 182336668 204877264 348971846 364673336 409754528 697943692 729346672 1395887384 1458693344 2791774768 5409063613 5583549536 10294669457 10818127226 20589338914 21636254452 41178677828 43272508904 82357355656 86545017808 164714711312 173090035616 319134753167 329429422624 638269506334 1276539012668 2553078025336 5106156050672 10212312101344