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1201230321021 = 327313764720627
BaseRepresentation
bin10001011110101110111…
…010000001010101111101
311020211120210202220010200
4101132232322001111331
5124140104430233041
62315500530354113
7152533415154543
oct21365672012575
94224523686120
101201230321021
11423491222525
1217498172b939
1389377467303
14421d5aabd93
15213a7c151b6
hex117aee8157d

1201230321021 has 48 divisors (see below), whose sum is σ = 1774542017664. Its totient is φ = 782834913792.

The previous prime is 1201230321013. The next prime is 1201230321029.

1201230321021 is a `hidden beast` number, since 1 + 201 + 230 + 3 + 210 + 21 = 666.

1201230321021 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1201230321013) and next prime (1201230321029).

It is not a de Polignac number, because 1201230321021 - 23 = 1201230321013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201230320985 and 1201230321003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201230321029) 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 47 ways as a sum of consecutive naturals, for example, 58225510 + ... + 58246136.

It is an arithmetic number, because the mean of its divisors is an integer number (36969625368).

Almost surely, 21201230321021 is an apocalyptic number.

It is an amenable number.

1201230321021 is a deficient number, since it is larger than the sum of its proper divisors (573311696643).

1201230321021 is a wasteful number, since it uses less digits than its factorization.

1201230321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21490 (or 21487 counting only the distinct ones).

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

It can be divided in two parts, 1201230 and 321021, that added together give a palindrome (1522251).

The spelling of 1201230321021 in words is "one trillion, two hundred one billion, two hundred thirty million, three hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 73 137 219 411 647 657 1233 1941 5823 10001 20627 30003 47231 61881 88639 90009 141693 185643 265917 425079 797751 1505771 2825899 4517313 6470647 8477697 13345669 13551939 19411941 25433091 40037007 58235823 120111021 206290627 618871881 974233837 1828356653 1856615643 2922701511 5485069959 8768104533 16455209877 133470035669 400410107007 1201230321021