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103204421253 = 32171018577793
BaseRepresentation
bin110000000011101110…
…1100111111010000101
3100212101111022210211100
41200013131213322011
53142330312440003
6115224512530313
710312334051343
oct1400735477205
9325344283740
10103204421253
113a85022922a
1218002b50999
1399696687ab
144dd087a993
152a4070cba3
hex1807767e85

103204421253 has 48 divisors (see below), whose sum is σ = 159611330736. Its totient is φ = 64031539200.

The previous prime is 103204421239. The next prime is 103204421347. The reversal of 103204421253 is 352124402301.

103204421253 is a `hidden beast` number, since 10 + 3 + 204 + 421 + 25 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73982912004 + 29221509249 = 271998^2 + 170943^2 .

It is not a de Polignac number, because 103204421253 - 24 = 103204421237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103204426253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13239325 + ... + 13247117.

It is an arithmetic number, because the mean of its divisors is an integer number (3325236057).

Almost surely, 2103204421253 is an apocalyptic number.

It is an amenable number.

103204421253 is a deficient number, since it is larger than the sum of its proper divisors (56406909483).

103204421253 is a wasteful number, since it uses less digits than its factorization.

103204421253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 103204421253 its reverse (352124402301), we get a palindrome (455328823554).

The spelling of 103204421253 in words is "one hundred three billion, two hundred four million, four hundred twenty-one thousand, two hundred fifty-three".

Divisors: 1 3 9 17 51 101 153 303 857 909 1717 2571 5151 7713 7793 14569 15453 23379 43707 70137 86557 131121 132481 259671 397443 779013 787093 1192329 1471469 2361279 4414407 6678601 7083837 13243221 13380581 20035803 40141743 60107409 113536217 120425229 340608651 674538701 1021825953 2023616103 6070848309 11467157917 34401473751 103204421253