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121751447041 = 7471212
BaseRepresentation
bin111000101100011110…
…0111010011000000001
3102122021001211100011101
41301120330322120001
53443321332301131
6131533140014401
711540054140000
oct1613074723001
9378231740141
10121751447041
11476a8577214
121b71a391401
13b634007873
145c6dbc0c37
153278b1cc61
hex1c58f3a601

121751447041 has 15 divisors (see below), whose sum is σ = 142054852163. Its totient is φ = 104343728160.

The previous prime is 121751447017. The next prime is 121751447047. The reversal of 121751447041 is 140744157121.

The square root of 121751447041 is 348929.

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

It can be written as a sum of positive squares in only one way, i.e., 2754045441 + 118997401600 = 52479^2 + 344960^2 .

It is not a de Polignac number, because 121751447041 - 227 = 121617229313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121751447047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17093961 + ... + 17101081.

Almost surely, 2121751447041 is an apocalyptic number.

121751447041 is the 348929-th square number.

121751447041 is the 174465-th centered octagonal number.

It is an amenable number.

121751447041 is a deficient number, since it is larger than the sum of its proper divisors (20303405122).

121751447041 is an frugal number, since it uses more digits than its factorization.

121751447041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The spelling of 121751447041 in words is "one hundred twenty-one billion, seven hundred fifty-one million, four hundred forty-seven thousand, forty-one".

Divisors: 1 7 49 343 2401 7121 49847 348929 2442503 17097521 50708641 354960487 2484723409 17393063863 121751447041