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103220195841 = 3272152992
BaseRepresentation
bin110000000100001100…
…1110011001000000001
3100212102121000020111100
41200020121303020001
53142343332231331
6115230235005013
710312615121400
oct1401031631001
9325377006440
10103220195841
113a859122984
1218008299769
13996c9cc879
144dd29c5637
152a41cc6ae6
hex1808673201

103220195841 has 27 divisors (see below), whose sum is σ = 173449353441. Its totient is φ = 58979113704.

The previous prime is 103220195839. The next prime is 103220195849. The reversal of 103220195841 is 148591022301.

The square root of 103220195841 is 321279.

It is a perfect power (a square), and thus also a powerful number.

103220195841 is a `hidden beast` number, since 10 + 32 + 20 + 19 + 584 + 1 = 666.

It is not a de Polignac number, because 103220195841 - 21 = 103220195839 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103220195796 and 103220195805.

It is not an unprimeable number, because it can be changed into a prime (103220195849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6739210 + ... + 6754508.

Almost surely, 2103220195841 is an apocalyptic number.

103220195841 is the 321279-th square number.

103220195841 is the 160640-th centered octagonal number.

It is an amenable number.

103220195841 is a deficient number, since it is larger than the sum of its proper divisors (70229157600).

103220195841 is an frugal number, since it uses more digits than its factorization.

103220195841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30618 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 103220195841 by its sum of digits (36), we get a square (3715927050276 = 19276742).

The spelling of 103220195841 in words is "one hundred three billion, two hundred twenty million, one hundred ninety-five thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 15299 45897 107093 137691 321279 749651 963837 2248953 6746859 234059401 702178203 1638415807 2106534609 4915247421 11468910649 14745742263 34406731947 103220195841