Search a number
-
+
122320411300100 = 225213211445936607
BaseRepresentation
bin11011110011111111110000…
…101010100001000100000100
3121001002201100210000101120102
4123303333300222201010010
5112013044200243100400
61112053115440023232
734523233551616256
oct3363776052410404
9531081323011512
10122320411300100
1135a7a882324152
1211876622301b18
1353339c44643c0
14222c4a780dcd6
15e21c7bc049d5
hex6f3ff0aa1104

122320411300100 has 72 divisors (see below), whose sum is σ = 287208148002048. Its totient is φ = 44950409884800.

The previous prime is 122320411300081. The next prime is 122320411300111. The reversal of 122320411300100 is 1003114023221.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 222694004 + ... + 223242603.

It is an arithmetic number, because the mean of its divisors is an integer number (3989002055584).

Almost surely, 2122320411300100 is an apocalyptic number.

122320411300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122320411300100 is an abundant number, since it is smaller than the sum of its proper divisors (164887736701948).

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

122320411300100 is a wasteful number, since it uses less digits than its factorization.

122320411300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445936845 (or 445936838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122320411300100 its reverse (1003114023221), we get a palindrome (123323525323321).

The spelling of 122320411300100 in words is "one hundred twenty-two trillion, three hundred twenty billion, four hundred eleven million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 211 260 325 422 650 844 1055 1300 2110 2743 4220 5275 5486 10550 10972 13715 21100 27430 54860 68575 137150 274300 445936607 891873214 1783746428 2229683035 4459366070 5797175891 8918732140 11148415175 11594351782 22296830350 23188703564 28985879455 44593660700 57971758910 94092624077 115943517820 144929397275 188185248154 289858794550 376370496308 470463120385 579717589100 940926240770 1223204113001 1881852481540 2352315601925 2446408226002 4704631203850 4892816452004 6116020565005 9409262407700 12232041130010 24464082260020 30580102825025 61160205650050 122320411300100