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1002314004141 = 319313071847689
BaseRepresentation
bin11101001010111101001…
…00011111011010101101
310112211010222122000102010
432211132210133122231
5112410214341113031
62044242351351433
7132262163314542
oct16453644373255
93484128560363
101002314004141
1135709614150a
12142308b22579
1373696804c68
14367258bcbc9
151b1149a2246
hexe95e91f6ad

1002314004141 has 32 divisors (see below), whose sum is σ = 1456866611200. Its totient is φ = 610623930240.

The previous prime is 1002314004127. The next prime is 1002314004149. The reversal of 1002314004141 is 1414004132001.

It is not a de Polignac number, because 1002314004141 - 226 = 1002246895277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002314004149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381376 + ... + 1466313.

It is an arithmetic number, because the mean of its divisors is an integer number (45527081600).

Almost surely, 21002314004141 is an apocalyptic number.

It is an amenable number.

1002314004141 is a deficient number, since it is larger than the sum of its proper divisors (454552607059).

1002314004141 is a wasteful number, since it uses less digits than its factorization.

1002314004141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848049.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1002314004141 its reverse (1414004132001), we get a palindrome (2416318136142).

The spelling of 1002314004141 in words is "one trillion, two billion, three hundred fourteen million, four thousand, one hundred forty-one".

Divisors: 1 3 19 31 57 93 307 589 921 1767 5833 9517 17499 28551 180823 542469 1847689 5543067 35106091 57278359 105318273 171835077 567240523 1088288821 1701721569 3264866463 10777569937 17584456213 32332709811 52753368639 334104668047 1002314004141