Search a number
-
+
1001113221300 = 223525956560069
BaseRepresentation
bin11101001000101101111…
…11110111100010110100
310112201001022010221000120
432210112333313202310
5112400234441040200
62043523254411540
7132220342656123
oct16442677674264
93481038127016
101001113221300
1135662a3505a5
12142032960bb0
1373534ac837a
1436650227aba
151b09435e9a0
hexe916ff78b4

1001113221300 has 72 divisors (see below), whose sum is σ = 2945648445600. Its totient is φ = 262438715520.

The previous prime is 1001113221257. The next prime is 1001113221301. The reversal of 1001113221300 is 31223111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001113221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001113221301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28262335 + ... + 28297734.

Almost surely, 21001113221300 is an apocalyptic number.

1001113221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001113221300 is an abundant number, since it is smaller than the sum of its proper divisors (1944535224300).

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

1001113221300 is a wasteful number, since it uses less digits than its factorization.

1001113221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56560145 (or 56560138 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001113221300 its reverse (31223111001), we get a palindrome (1032336332301).

The spelling of 1001113221300 in words is "one trillion, one billion, one hundred thirteen million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 17700 56560069 113120138 169680207 226240276 282800345 339360414 565600690 678720828 848401035 1131201380 1414001725 1696802070 2828003450 3337044071 3393604140 4242005175 5656006900 6674088142 8484010350 10011132213 13348176284 16685220355 16968020700 20022264426 33370440710 40044528852 50055661065 66740881420 83426101775 100111322130 166852203550 200222644260 250278305325 333704407100 500556610650 1001113221300