Search a number
-
+
10302222120000 = 26354711209181
BaseRepresentation
bin1001010111101010110001…
…0010100011010001000000
31100110212211120110200011020
42111322230102203101000
52322242422330320000
633524435301545440
72112211445104626
oct225725422432100
940425746420136
1010302222120000
113312169898a28
1211a4781415280
13599659461b25
142788b7429516
1512ceb773cba0
hex95eac4a3440

10302222120000 has 280 divisors, whose sum is σ = 34541318889792. Its totient is φ = 2708563200000.

The previous prime is 10302222119939. The next prime is 10302222120013. The reversal of 10302222120000 is 2122220301.

It is a happy number.

It is a super-2 number, since 2×103022221200002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7915410 + ... + 9124590.

Almost surely, 210302222120000 is an apocalyptic number.

10302222120000 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 10302222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270659444896).

10302222120000 is an abundant number, since it is smaller than the sum of its proper divisors (24239096769792).

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

10302222120000 is an equidigital number, since it uses as much as digits as its factorization.

10302222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209287 (or 1209262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10302222120000 its reverse (2122220301), we get a palindrome (10304344340301).

The spelling of 10302222120000 in words is "ten trillion, three hundred two billion, two hundred twenty-two million, one hundred twenty thousand".