Search a number
-
+
109210925040 = 24357617105359
BaseRepresentation
bin110010110110101111…
…0100111011111110000
3101102220002121211000120
41211231132213133300
53242130444100130
6122100521050240
710614230355240
oct1455536473760
9342802554016
10109210925040
11423527a1448
12191ba626980
13a3b5ba0949
14540049db20
152c92bcc910
hex196d7a77f0

109210925040 has 160 divisors (see below), whose sum is σ = 387549480960. Its totient is φ = 24921802752.

The previous prime is 109210925039. The next prime is 109210925123. The reversal of 109210925040 is 40529012901.

It is a super-2 number, since 2×1092109250402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109210924992 and 109210925010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983881 + ... + 1089239.

It is an arithmetic number, because the mean of its divisors is an integer number (2422184256).

Almost surely, 2109210925040 is an apocalyptic number.

109210925040 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 109210925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193774740480).

109210925040 is an abundant number, since it is smaller than the sum of its proper divisors (278338555920).

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

109210925040 is a wasteful number, since it uses less digits than its factorization.

109210925040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105999 (or 105993 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 109210925040 its reverse (40529012901), we get a palindrome (149739937941).

The spelling of 109210925040 in words is "one hundred nine billion, two hundred ten million, nine hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 617 840 1234 1680 1851 2468 3085 3702 4319 4936 6170 7404 8638 9255 9872 12340 12957 14808 17276 18510 21595 24680 25914 29616 34552 37020 43190 49360 51828 64785 69104 74040 86380 103656 105359 129570 148080 172760 207312 210718 259140 316077 345520 421436 518280 526795 632154 737513 842872 1036560 1053590 1264308 1475026 1580385 1685744 2107180 2212539 2528616 2950052 3160770 3687565 4214360 4425078 5057232 5900104 6321540 7375130 8428720 8850156 11062695 11800208 12643080 14750260 17700312 22125390 25286160 29500520 35400624 44250780 59001040 65006503 88501560 130013006 177003120 195019509 260026012 325032515 390039018 455045521 520052024 650065030 780078036 910091042 975097545 1040104048 1300130060 1365136563 1560156072 1820182084 1950195090 2275227605 2600260120 2730273126 3120312144 3640364168 3900390180 4550455210 5200520240 5460546252 6825682815 7280728336 7800780360 9100910420 10921092504 13651365630 15601560720 18201820840 21842185008 27302731260 36403641680 54605462520 109210925040