Search a number
-
+
3023132331000 = 23353891092953
BaseRepresentation
bin101011111111100000101…
…110101000101111111000
3101201000020021211110001010
4223333200232220233320
5344012333334043000
610232450253353520
7431262015553245
oct53774056505770
911630207743033
103023132331000
11a6611542a401
12409aa0a988a0
1318c107142822
14a646b1d05cc
155398a492d50
hex2bfe0ba8bf8

3023132331000 has 384 divisors, whose sum is σ = 9636562353600. Its totient is φ = 788968857600.

The previous prime is 3023132330987. The next prime is 3023132331001. The reversal of 3023132331000 is 1332313203.

It is a super-2 number, since 2×30231323310002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023132331001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3172226524 + ... + 3172227476.

Almost surely, 23023132331000 is an apocalyptic number.

3023132331000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023132331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818281176800).

3023132331000 is an abundant number, since it is smaller than the sum of its proper divisors (6613430022600).

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

3023132331000 is a wasteful number, since it uses less digits than its factorization.

3023132331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3023132331000 its reverse (1332313203), we get a palindrome (3024464644203).

The spelling of 3023132331000 in words is "three trillion, twenty-three billion, one hundred thirty-two million, three hundred thirty-one thousand".