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1004210202141 = 321100171014197
BaseRepresentation
bin11101001110011111001…
…01111010011000011101
310120000001010122212001200
432213033211322120131
5112423110302432031
62045154445430113
7132360156610566
oct16471745723035
93500033585050
101004210202141
113579795300a3
12142757b6b339
1373909607103
143686567716d
151b1c61ad8e6
hexe9cf97a61d

1004210202141 has 12 divisors (see below), whose sum is σ = 1450540462332. Its totient is φ = 669466722816.

The previous prime is 1004210202131. The next prime is 1004210202143. The reversal of 1004210202141 is 1412020124001.

1004210202141 is a `hidden beast` number, since 1 + 0 + 0 + 421 + 0 + 202 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 489230302500 + 514979899641 = 699450^2 + 717621^2 .

It is not a de Polignac number, because 1004210202141 - 25 = 1004210202109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004210202143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483055 + ... + 1497251.

It is an arithmetic number, because the mean of its divisors is an integer number (120878371861).

Almost surely, 21004210202141 is an apocalyptic number.

It is an amenable number.

1004210202141 is a deficient number, since it is larger than the sum of its proper divisors (446330260191).

1004210202141 is a wasteful number, since it uses less digits than its factorization.

1004210202141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124220 (or 1124217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1004210202141 its reverse (1412020124001), we get a palindrome (2416230326142).

The spelling of 1004210202141 in words is "one trillion, four billion, two hundred ten million, two hundred two thousand, one hundred forty-one".

Divisors: 1 3 9 110017 330051 990153 1014197 3042591 9127773 111578911349 334736734047 1004210202141