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1001301322122 = 232173321548273
BaseRepresentation
bin11101001001000100011…
…01011010100110001010
310112201112102002102211200
432210202031122212022
5112401131114301442
62043554054205030
7132225115544043
oct16444215324612
93481472072750
101001301322122
11356716546522
12142085953776
1373564a7752a
143666b1cd8ca
151b0a5b1834c
hexe92235a98a

1001301322122 has 24 divisors (see below), whose sum is σ = 2182026587364. Its totient is φ = 331837816704.

The previous prime is 1001301322121. The next prime is 1001301322123. The reversal of 1001301322122 is 2212231031001.

It is an interprime number because it is at equal distance from previous prime (1001301322121) and next prime (1001301322123).

It can be written as a sum of positive squares in 2 ways, for example, as 989489762361 + 11811559761 = 994731^2 + 108681^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001301322095 and 1001301322104.

It is not an unprimeable number, because it can be changed into a prime (1001301322121) 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, 160771023 + ... + 160777250.

Almost surely, 21001301322122 is an apocalyptic number.

1001301322122 is an abundant number, since it is smaller than the sum of its proper divisors (1180725265242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001301322122 is a wasteful number, since it uses less digits than its factorization.

1001301322122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321548454 (or 321548451 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001301322122 its reverse (2212231031001), we get a palindrome (3213532353123).

The spelling of 1001301322122 in words is "one trillion, one billion, three hundred one million, three hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 321548273 643096546 964644819 1929289638 2893934457 5787868914 55627851229 111255702458 166883553687 333767107374 500650661061 1001301322122