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103366751049 = 3413922572
BaseRepresentation
bin110000001000100100…
…0110111001101001001
3100212210210210000110000
41200101020313031021
53143143342013144
6115252552113213
710316344613142
oct1402110671511
9325723700400
10103366751049
113a923921a91
1218049395809
139994193823
145008254ac9
152a4eac5769
hex1811237349

103366751049 has 45 divisors (see below), whose sum is σ = 156138463767. Its totient is φ = 68149195776.

The previous prime is 103366751039. The next prime is 103366751063. The reversal of 103366751049 is 940157663301.

It is a happy number.

The square root of 103366751049 is 321507.

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

103366751049 is a `hidden beast` number, since 1 + 0 + 3 + 36 + 67 + 510 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101764190025 + 1602561024 = 319005^2 + 40032^2 .

It is not a de Polignac number, because 103366751049 - 221 = 103364653897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103366750995 and 103366751013.

It is not an unprimeable number, because it can be changed into a prime (103366751009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 402205129 + ... + 402205385.

Almost surely, 2103366751049 is an apocalyptic number.

103366751049 is the 321507-th square number.

103366751049 is the 160754-th centered octagonal number.

It is an amenable number.

103366751049 is a deficient number, since it is larger than the sum of its proper divisors (52771712718).

103366751049 is an frugal number, since it uses more digits than its factorization.

103366751049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 103366751049 in words is "one hundred three billion, three hundred sixty-six million, seven hundred fifty-one thousand, forty-nine".

Divisors: 1 3 9 27 81 139 257 417 771 1251 2313 3753 6939 11259 19321 20817 35723 57963 66049 107169 173889 198147 321507 521667 594441 964521 1565001 1783323 2893563 4965497 5349969 9180811 14896491 27542433 44689473 82627299 134068419 247881897 402205257 743645691 1276132729 3828398187 11485194561 34455583683 103366751049