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13032002320020 = 2232572400012889
BaseRepresentation
bin1011110110100011111111…
…0111100111011010010100
31201010211212122111211100100
42331220333313213122110
53202004020043220040
643414452541214100
72513350111004055
oct275507767473224
951124778454310
1013032002320020
114174928625462
121565833261330
13736bb2b2a858
14330a7637072c
15178ed3e80b30
hexbda3fde7694

13032002320020 has 36 divisors (see below), whose sum is σ = 39530407037940. Its totient is φ = 3475200618624.

The previous prime is 13032002320009. The next prime is 13032002320033. The reversal of 13032002320020 is 2002320023031.

It is a happy number.

13032002320020 is a `hidden beast` number, since 1 + 3 + 0 + 320 + 0 + 2 + 320 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6244341281424 + 6787661038596 = 2498868^2 + 2605314^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 13032002319975 and 13032002320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36200006265 + ... + 36200006624.

It is an arithmetic number, because the mean of its divisors is an integer number (1098066862165).

Almost surely, 213032002320020 is an apocalyptic number.

13032002320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032002320020 is an abundant number, since it is smaller than the sum of its proper divisors (26498404717920).

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

13032002320020 is a wasteful number, since it uses less digits than its factorization.

13032002320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72400012904 (or 72400012899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13032002320020 its reverse (2002320023031), we get a palindrome (15034322343051).

The spelling of 13032002320020 in words is "thirteen trillion, thirty-two billion, two million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72400012889 144800025778 217200038667 289600051556 362000064445 434400077334 651600116001 724000128890 868800154668 1086000193335 1303200232002 1448000257780 2172000386670 2606400464004 3258000580005 4344000773340 6516001160010 13032002320020