Search a number
-
+
10212323420420 = 22511347753717749
BaseRepresentation
bin1001010010011011110111…
…1010001110100100000100
31100011021210101012120002022
42110212331322032210010
52314304314243423140
633415250540502312
72102546615550602
oct224467572164404
940137711176068
1010212323420420
1132880273773a0
12118b27254a998
1359103061a234
142743c9b7a872
1512a9a52210b5
hex949bde8e904

10212323420420 has 96 divisors (see below), whose sum is σ = 23467361904000. Its totient is φ = 3702170327040.

The previous prime is 10212323420393. The next prime is 10212323420471. The reversal of 10212323420420 is 2402432321201.

It is a self number, because there is not a number n which added to its sum of digits gives 10212323420420.

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, 575365706 + ... + 575383454.

It is an arithmetic number, because the mean of its divisors is an integer number (244451686500).

Almost surely, 210212323420420 is an apocalyptic number.

10212323420420 is a gapful number since it is divisible by the number (10) 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 10212323420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733680952000).

10212323420420 is an abundant number, since it is smaller than the sum of its proper divisors (13255038483580).

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

10212323420420 is a wasteful number, since it uses less digits than its factorization.

10212323420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25653 (or 25651 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10212323420420 its reverse (2402432321201), we get a palindrome (12614755741621).

The spelling of 10212323420420 in words is "ten trillion, two hundred twelve billion, three hundred twenty-three million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 347 694 1388 1735 3470 3817 6940 7537 7634 15074 15268 17749 19085 30148 35498 37685 38170 70996 75370 76340 82907 88745 150740 165814 177490 195239 331628 354980 390478 414535 780956 829070 976195 1658140 1952390 2615339 3904780 5230678 6158903 10461356 12317806 13076695 24635612 26153390 28768729 30794515 52306780 57537458 61589030 67747933 115074916 123178060 133774213 135495866 143843645 267548426 270991732 287687290 338739665 535096852 575374580 668871065 677479330 1337742130 1354958660 1471516343 2675484260 2943032686 5886065372 7357581715 14715163430 29430326860 46419651911 92839303822 185678607644 232098259555 464196519110 510616171021 928393038220 1021232342042 2042464684084 2553080855105 5106161710210 10212323420420