Search a number
-
+
321131001400 = 235211145968637
BaseRepresentation
bin1001010110001001110…
…01100011011000111000
31010200220011122010020121
410223010321203120320
520230134014021100
6403305303503024
732125632321406
oct4530471433070
91120804563217
10321131001400
11114211095420
12522a2157a74
132438991cc31
1411785716476
15854788651a
hex4ac4e63638

321131001400 has 48 divisors (see below), whose sum is σ = 814505000040. Its totient is φ = 116774908800.

The previous prime is 321131001383. The next prime is 321131001413. The reversal of 321131001400 is 4100131123.

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, 72982119 + ... + 72986518.

Almost surely, 2321131001400 is an apocalyptic number.

It is an amenable number.

321131001400 is an abundant number, since it is smaller than the sum of its proper divisors (493373998640).

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

321131001400 is a wasteful number, since it uses less digits than its factorization.

321131001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145968664 (or 145968655 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 321131001400 its reverse (4100131123), we get a palindrome (325231132523).

The spelling of 321131001400 in words is "three hundred twenty-one billion, one hundred thirty-one million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 145968637 291937274 583874548 729843185 1167749096 1459686370 1605655007 2919372740 3211310014 3649215925 5838745480 6422620028 7298431850 8028275035 12845240056 14596863700 16056550070 29193727400 32113100140 40141375175 64226200280 80282750350 160565500700 321131001400