Search a number
-
+
10342211124300 = 223521111801265571
BaseRepresentation
bin1001011001111111101111…
…0100011111110001001100
31100121201001110211120101120
42112133323310133301030
52323421322021434200
633555051325040540
72115125430041166
oct226377364376114
940551043746346
1010342211124300
11332811a616810
1211b04816b6150
135a0360164553
1427a7cc373936
1512e0582a19a0
hex967fbd1fc4c

10342211124300 has 144 divisors (see below), whose sum is σ = 32646668229504. Its totient is φ = 2506980800000.

The previous prime is 10342211124269. The next prime is 10342211124317. The reversal of 10342211124300 is 342111224301.

It is a super-2 number, since 2×103422111243002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38810515 + ... + 39076085.

It is an arithmetic number, because the mean of its divisors is an integer number (226712973816).

Almost surely, 210342211124300 is an apocalyptic number.

10342211124300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342211124300 is an abundant number, since it is smaller than the sum of its proper divisors (22304457105204).

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

10342211124300 is a wasteful number, since it uses less digits than its factorization.

10342211124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277400 (or 277393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10342211124300 its reverse (342111224301), we get a palindrome (10684322348601).

The spelling of 10342211124300 in words is "ten trillion, three hundred forty-two billion, two hundred eleven million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 11801 23602 35403 47204 59005 70806 118010 129811 141612 177015 236020 259622 265571 295025 354030 389433 519244 531142 590050 649055 708060 778866 796713 885075 1062284 1180100 1298110 1327855 1557732 1593426 1770150 1947165 2596220 2655710 2921281 3186852 3245275 3540300 3894330 3983565 5311420 5842562 6490550 6639275 7788660 7967130 8763843 9735825 11685124 12981100 13278550 14606405 15934260 17527686 19471650 19917825 26557100 29212810 35055372 38943300 39835650 43819215 58425620 73032025 79671300 87638430 146064050 175276860 219096075 292128100 438192150 876384300 3134003371 6268006742 9402010113 12536013484 15670016855 18804020226 31340033710 34474037081 37608040452 47010050565 62680067420 68948074162 78350084275 94020101130 103422111243 137896148324 156700168550 172370185405 188040202260 206844222486 235050252825 313400337100 344740370810 413688444972 470100505650 517110556215 689480741620 861850927025 940201011300 1034221112430 1723701854050 2068442224860 2585552781075 3447403708100 5171105562150 10342211124300