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2131730433 = 33712788811
BaseRepresentation
bin111111100001111…
…1010000000000001
312111120020010102000
41333003322000001
513331210333213
6551310214213
7103553260350
oct17703720001
95446203360
102131730433
119a4340698
124b5ab4369
1327c84a671
14163189997
15c7233c73
hex7f0fa001

2131730433 has 32 divisors (see below), whose sum is σ = 3637739520. Its totient is φ = 1208526480.

The previous prime is 2131730401. The next prime is 2131730443. The reversal of 2131730433 is 3340371312.

2131730433 is a `hidden beast` number, since 213 + 17 + 3 + 0 + 433 = 666.

It is not a de Polignac number, because 2131730433 - 25 = 2131730401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131730397 and 2131730406.

It is not an unprimeable number, because it can be changed into a prime (2131730443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20403 + ... + 68408.

It is an arithmetic number, because the mean of its divisors is an integer number (113679360).

Almost surely, 22131730433 is an apocalyptic number.

It is an amenable number.

2131730433 is a deficient number, since it is larger than the sum of its proper divisors (1506009087).

2131730433 is a wasteful number, since it uses less digits than its factorization.

2131730433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88954 (or 88948 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 2131730433 is about 46170.6663694602. Note that the first 3 decimals coincide. The cubic root of 2131730433 is about 1286.9966855126.

The spelling of 2131730433 in words is "two billion, one hundred thirty-one million, seven hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 127 189 381 889 1143 2667 3429 8001 24003 88811 266433 621677 799299 1865031 2397897 5595093 11278997 16785279 33836991 78952979 101510973 236858937 304532919 710576811 2131730433