Search a number
-
+
1023311220001 = 7242149605469
BaseRepresentation
bin11101110010000100001…
…10100000110100100001
310121211100022121002122121
432321002012200310201
5113231220133020001
62102034102504241
7133634414565400
oct16710206406441
93554308532577
101023311220001
11364a90562574
121463a8a35081
1375661983745
14377583c9637
151b94304e6a1
hexee421a0d21

1023311220001 has 12 divisors (see below), whose sum is σ = 1193209975380. Its totient is φ = 875040455520.

The previous prime is 1023311219981. The next prime is 1023311220049. The reversal of 1023311220001 is 1000221133201.

It can be written as a sum of positive squares in 2 ways, for example, as 497802213601 + 525509006400 = 705551^2 + 724920^2 .

It is not a de Polignac number, because 1023311220001 - 213 = 1023311211809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023311220601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24782106 + ... + 24823363.

It is an arithmetic number, because the mean of its divisors is an integer number (99434164615).

Almost surely, 21023311220001 is an apocalyptic number.

It is an amenable number.

1023311220001 is a deficient number, since it is larger than the sum of its proper divisors (169898755379).

1023311220001 is an equidigital number, since it uses as much as digits as its factorization.

1023311220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49605904 (or 49605897 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1023311220001 its reverse (1000221133201), we get a palindrome (2023532353202).

The spelling of 1023311220001 in words is "one trillion, twenty-three billion, three hundred eleven million, two hundred twenty thousand, one".

Divisors: 1 7 49 421 2947 20629 49605469 347238283 2430667981 20883902449 146187317143 1023311220001