Search a number
-
+
23031003021000 = 23353134127153149
BaseRepresentation
bin1010011110010010100101…
…10000001111111011001000
310000112202001012101102121220
411033021102300033323020
511004314443233133000
6120552144032002040
74564635503430222
oct517112260177310
9100482035342556
1023031003021000
11737a436874317
1226bb690390320
13cb0a77c32c80
145989c6895412
1529e1512d01a0
hex14f252c0fec8

23031003021000 has 512 divisors, whose sum is σ = 79565601024000. Its totient is φ = 5510384640000.

The previous prime is 23031003020947. The next prime is 23031003021001. The reversal of 23031003021000 is 12030013032.

It is a super-2 number, since 2×230310030210002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (23031003021001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 433302426 + ... + 433355574.

It is an arithmetic number, because the mean of its divisors is an integer number (155401564500).

Almost surely, 223031003021000 is an apocalyptic number.

23031003021000 is a gapful number since it is divisible by the number (20) 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 23031003021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39782800512000).

23031003021000 is an abundant number, since it is smaller than the sum of its proper divisors (56534598003000).

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

23031003021000 is a wasteful number, since it uses less digits than its factorization.

23031003021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53498 (or 53484 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23031003021000 its reverse (12030013032), we get a palindrome (23043033034032).

The spelling of 23031003021000 in words is "twenty-three trillion, thirty-one billion, three million, twenty-one thousand".