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1021641122331 = 32406372793407
BaseRepresentation
bin11101101110111101000…
…11100110001000011011
310121200000221000100100100
432313132203212020123
5113214310111403311
62101200242510443
7133545135154104
oct16673643461033
93550027010310
101021641122331
11364303863465
12146001665423
137545697687b
143763a6893ab
151b896605a56
hexedde8e621b

1021641122331 has 12 divisors (see below), whose sum is σ = 1475740685952. Its totient is φ = 681077077296.

The previous prime is 1021641122329. The next prime is 1021641122371. The reversal of 1021641122331 is 1332211461201.

1021641122331 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 641 + 12 + 2 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 1021641122331 - 21 = 1021641122329 is a prime.

It is a super-2 number, since 2×10216411223312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021641122295 and 1021641122304.

It is not an unprimeable number, because it can be changed into a prime (1021641122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030971 + ... + 1762436.

It is an arithmetic number, because the mean of its divisors is an integer number (122978390496).

Almost surely, 21021641122331 is an apocalyptic number.

1021641122331 is a deficient number, since it is larger than the sum of its proper divisors (454099563621).

1021641122331 is a wasteful number, since it uses less digits than its factorization.

1021641122331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834050 (or 2834047 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1021641122331 its reverse (1332211461201), we get a palindrome (2353852583532).

The spelling of 1021641122331 in words is "one trillion, twenty-one billion, six hundred forty-one million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 40637 121911 365733 2793407 8380221 25140663 113515680259 340547040777 1021641122331