| Base | Representation |
|---|---|
| bin | 11101110001111000010… |
| … | …00111101111000000000 |
| 3 | 10121211002100101120000010 |
| 4 | 32320330020331320000 |
| 5 | 113231014031400000 |
| 6 | 2102020131024520 |
| 7 | 133632061461033 |
| oct | 16707410757000 |
| 9 | 3554070346003 |
| 10 | 1023211200000 |
| 11 | 364a3a058010 |
| 12 | 14637b43b140 |
| 13 | 75647033b02 |
| 14 | 37748dd101a |
| 15 | 1b939393d50 |
| hex | ee3c23de00 |
1023211200000 has 480 divisors, whose sum is σ = 3717088341120. Its totient is φ = 248038400000.
The previous prime is 1023211199987. The next prime is 1023211200001. The reversal of 1023211200000 is 21123201.
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×10232112000002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023211200001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52790311 + ... + 52809689.
It is an arithmetic number, because the mean of its divisors is an integer number (7743934044).
Almost surely, 21023211200000 is an apocalyptic number.
1023211200000 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 1023211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858544170560).
1023211200000 is an abundant number, since it is smaller than the sum of its proper divisors (2693877141120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023211200000 is an frugal number, since it uses more digits than its factorization.
1023211200000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19436 (or 19400 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
Adding to 1023211200000 its reverse (21123201), we get a palindrome (1023232323201).
The spelling of 1023211200000 in words is "one trillion, twenty-three billion, two hundred eleven million, two hundred thousand".
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