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1242224230100 = 225272481352673
BaseRepresentation
bin10010000100111010010…
…101010111111011010100
311101202101202001020120112
4102010322111113323110
5130323033400330400
62350400412222152
7155514321510500
oct22047225277324
94352352036515
101242224230100
11439908214127
1218090246a958
13901ab403549
14441a427d300
15224a6ac8835
hex1213a557ed4

1242224230100 has 108 divisors (see below), whose sum is σ = 3136439934684. Its totient is φ = 425808875520.

The previous prime is 1242224230031. The next prime is 1242224230109. The reversal of 1242224230100 is 10324222421.

It can be written as a sum of positive squares in 6 ways, for example, as 3798010384 + 1238426219716 = 61628^2 + 1112846^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242224230109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23557364 + ... + 23610036.

Almost surely, 21242224230100 is an apocalyptic number.

1242224230100 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 1242224230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568219967342).

1242224230100 is an abundant number, since it is smaller than the sum of its proper divisors (1894215704584).

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

1242224230100 is a wasteful number, since it uses less digits than its factorization.

1242224230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57514 (or 57500 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1242224230100 its reverse (10324222421), we get a palindrome (1252548452521).

The spelling of 1242224230100 in words is "one trillion, two hundred forty-two billion, two hundred twenty-four million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4813 4900 9626 19252 24065 33691 48130 52673 67382 96260 105346 120325 134764 168455 210692 235837 240650 263365 336910 368711 471674 481300 526730 673820 737422 842275 943348 1053460 1179185 1316825 1474844 1684550 1843555 2358370 2580977 2633650 3369100 3687110 4716740 5161954 5267300 5895925 7374220 9217775 10323908 11791850 12904885 18435550 23583700 25809770 36871100 51619540 64524425 129048850 253515149 258097700 507030298 1014060596 1267575745 1774606043 2535151490 3549212086 5070302980 6337878725 7098424172 8873030215 12422242301 12675757450 17746060430 24844484602 25351514900 35492120860 44365151075 49688969204 62111211505 88730302150 124222423010 177460604300 248444846020 310556057525 621112115050 1242224230100