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131830204560 = 2435549292519
BaseRepresentation
bin111101011000110110…
…0010100100010010000
3110121021110210021021220
41322301230110202100
54124442013021220
6140321214445040
712344606151465
oct1726154244220
9417243707256
10131830204560
11509aa79398a
1221671803780
13c57c10ba02
1465485a566c
153668886540
hex1eb1b14890

131830204560 has 40 divisors (see below), whose sum is σ = 408673634880. Its totient is φ = 35154721152.

The previous prime is 131830204559. The next prime is 131830204613. The reversal of 131830204560 is 65402038131.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274646020 + ... + 274646499.

It is an arithmetic number, because the mean of its divisors is an integer number (10216840872).

Almost surely, 2131830204560 is an apocalyptic number.

131830204560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131830204560 is an abundant number, since it is smaller than the sum of its proper divisors (276843430320).

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

131830204560 is a wasteful number, since it uses less digits than its factorization.

131830204560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549292535 (or 549292529 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

It can be divided in two parts, 1318 and 30204560, that added together give a triangular number (30205878 = T7772).

The spelling of 131830204560 in words is "one hundred thirty-one billion, eight hundred thirty million, two hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 549292519 1098585038 1647877557 2197170076 2746462595 3295755114 4394340152 5492925190 6591510228 8239387785 8788680304 10985850380 13183020456 16478775570 21971700760 26366040912 32957551140 43943401520 65915102280 131830204560