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1321133110020 = 2232519386296231
BaseRepresentation
bin10011001110011001101…
…010110111001100000100
311200022002001000200012200
4103032121222313030010
5133121140034010040
62450530431314500
7164306624102133
oct23163152671404
94608061020180
101321133110020
1146a320220579
1219406497ba30
1397775476479
1447d2c14b91a
15245743b7630
hex13399ab7304

1321133110020 has 72 divisors (see below), whose sum is σ = 4218354853440. Its totient is φ = 333759942720.

The previous prime is 1321133110019. The next prime is 1321133110051. The reversal of 1321133110020 is 200113311231.

1321133110020 is a `hidden beast` number, since 1 + 3 + 211 + 331 + 100 + 20 = 666.

It is a super-3 number, since 3×13211331100203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 1321133109975 and 1321133110002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193144696 + ... + 193151535.

Almost surely, 21321133110020 is an apocalyptic number.

1321133110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321133110020 is an abundant number, since it is smaller than the sum of its proper divisors (2897221743420).

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

1321133110020 is a wasteful number, since it uses less digits than its factorization.

1321133110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386296265 (or 386296260 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1321133110020 its reverse (200113311231), we get a palindrome (1521246421251).

The spelling of 1321133110020 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 386296231 772592462 1158888693 1545184924 1931481155 2317777386 3476666079 3862962310 4635554772 5794443465 6953332158 7339628389 7725924620 11588886930 13906664316 14679256778 17383330395 22018885167 23177773860 29358513556 34766660790 36698141945 44037770334 66056655501 69533321580 73396283890 88075540668 110094425835 132113311002 146792567780 220188851670 264226622004 330283277505 440377703340 660566555010 1321133110020