Search a number
-
+
1220120993 = 71345729339
BaseRepresentation
bin100100010111001…
…1001000110100001
310011000212120100102
41020232121012201
54444322332433
6321023232145
742143600030
oct11056310641
93130776312
101220120993
115767a9a63
122a0748655
13165a1a9b0
14b808a717
15721b24e8
hex48b991a1

1220120993 has 16 divisors (see below), whose sum is σ = 1505024640. Its totient is φ = 963225216.

The previous prime is 1220120989. The next prime is 1220121017. The reversal of 1220120993 is 3990210221.

It is a cyclic number.

It is not a de Polignac number, because 1220120993 - 22 = 1220120989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1220120903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26918 + ... + 56256.

It is an arithmetic number, because the mean of its divisors is an integer number (94064040).

Almost surely, 21220120993 is an apocalyptic number.

1220120993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1220120993 is a deficient number, since it is larger than the sum of its proper divisors (284903647).

1220120993 is a wasteful number, since it uses less digits than its factorization.

1220120993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29816.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 1220120993 is about 34930.2303599618. The cubic root of 1220120993 is about 1068.5650526472.

The spelling of 1220120993 in words is "one billion, two hundred twenty million, one hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 7 13 91 457 3199 5941 29339 41587 205373 381407 2669849 13407923 93855461 174302999 1220120993