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1031416141301 = 713477313724113
BaseRepresentation
bin11110000001001010011…
…00010101010111110101
310122121021011102202111222
433000211030111113311
5113344320013010201
62105454231240125
7134342311355510
oct17004514252765
93577234382458
101031416141301
1136846a582937
12147a8b219045
1376353b71370
1437cc69a5d77
151bc6987291b
hexf0253155f5

1031416141301 has 64 divisors (see below), whose sum is σ = 1323851655168. Its totient is φ = 781978779648.

The previous prime is 1031416141297. The next prime is 1031416141333.

1031416141301 is nontrivially palindromic in base 10.

1031416141301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1031416141301 - 22 = 1031416141297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031416141201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42762221 + ... + 42786333.

It is an arithmetic number, because the mean of its divisors is an integer number (20685182112).

Almost surely, 21031416141301 is an apocalyptic number.

It is an amenable number.

1031416141301 is a deficient number, since it is larger than the sum of its proper divisors (292435513867).

1031416141301 is a wasteful number, since it uses less digits than its factorization.

1031416141301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24390.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 1031416141301 in words is "one trillion, thirty-one billion, four hundred sixteen million, one hundred forty-one thousand, three hundred one".

Divisors: 1 7 13 47 73 91 137 329 511 611 949 959 1781 3431 4277 6439 6643 10001 12467 24017 24113 44603 45073 70007 83707 130013 168791 312221 313469 470047 585949 910091 1133311 1760249 2194283 3290329 3303481 6110611 7933177 12321743 14733043 22883237 23124367 42774277 42945253 82731703 103131301 155263607 160182659 241154113 300616771 579121921 1075512139 1086845249 1688078791 2018426891 3135003469 7528584973 11334243311 14128988237 21945024283 79339703177 147345163043 1031416141301