Search a number
-
+
10023001333212 = 22372931892715503
BaseRepresentation
bin1001000111011010100101…
…1011110001110111011100
31022111012010012022001020110
42101312221123301313130
52303204101320130322
633152300411250020
72053065213425640
oct221665133616734
938435105261213
1010023001333212
113214804a5410a
12115a636a49910
1357921b59346a
14269189c86c20
15125ac4417c0c
hex91da96f1ddc

10023001333212 has 384 divisors, whose sum is σ = 28974042316800. Its totient is φ = 2635466803200.

The previous prime is 10023001333207. The next prime is 10023001333231. The reversal of 10023001333212 is 21233310032001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1821367653 + ... + 1821373155.

It is an arithmetic number, because the mean of its divisors is an integer number (75453235200).

Almost surely, 210023001333212 is an apocalyptic number.

10023001333212 is a gapful number since it is divisible by the number (12) 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 10023001333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487021158400).

10023001333212 is an abundant number, since it is smaller than the sum of its proper divisors (18951040983588).

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

10023001333212 is a wasteful number, since it uses less digits than its factorization.

10023001333212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10023001333212 its reverse (21233310032001), we get a palindrome (31256311365213).

The spelling of 10023001333212 in words is "ten trillion, twenty-three billion, one million, three hundred thirty-three thousand, two hundred twelve".