Search a number
-
+
10223030012000 = 255313434572017
BaseRepresentation
bin1001010011000011110000…
…0100101000100001100000
31100012022102112112202122012
42110300330010220201200
52314443231140341000
633424221204132052
72103406133226401
oct224607404504140
940168375482565
1010223030012000
113291620a23093
121191360097028
13592048814120
14274b23ab19a8
1512add0154735
hex94c3c128860

10223030012000 has 192 divisors, whose sum is σ = 27679216428864. Its totient is φ = 3686873702400.

The previous prime is 10223030011981. The next prime is 10223030012011. The reversal of 10223030012000 is 21003032201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50009 + ... + 4522008.

It is an arithmetic number, because the mean of its divisors is an integer number (144162585567).

Almost surely, 210223030012000 is an apocalyptic number.

10223030012000 is a gapful number since it is divisible by the number (10) 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 10223030012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839608214432).

10223030012000 is an abundant number, since it is smaller than the sum of its proper divisors (17456186416864).

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

10223030012000 is a wasteful number, since it uses less digits than its factorization.

10223030012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572098 (or 4572080 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10223030012000 its reverse (21003032201), we get a palindrome (10244033044201).

The spelling of 10223030012000 in words is "ten trillion, two hundred twenty-three billion, thirty million, twelve thousand".