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10022001330000 = 2435411172238011
BaseRepresentation
bin1001000111010110110111…
…0101000100011101010000
31022111002112111121121201110
42101311231311010131100
52303200024320030000
633152013245533320
72053031351512452
oct221655565043520
938432474547643
1010022001330000
113214341528980
12115a3b7b74240
135790bc35499a
142690d31382d2
15125a66735850
hex91d6dd44750

10022001330000 has 800 divisors, whose sum is σ = 37541829169152. Its totient is φ = 2276121600000.

The previous prime is 10022001329969. The next prime is 10022001330043. The reversal of 10022001330000 is 3310022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1251025995 + ... + 1251034005.

Almost surely, 210022001330000 is an apocalyptic number.

10022001330000 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 10022001330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770914584576).

10022001330000 is an abundant number, since it is smaller than the sum of its proper divisors (27519827839152).

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

10022001330000 is a wasteful number, since it uses less digits than its factorization.

10022001330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10022001330000 its reverse (3310022001), we get a palindrome (10025311352001).

It can be divided in two parts, 1002 and 2001330000, that added together give a palindrome (2001331002).

The spelling of 10022001330000 in words is "ten trillion, twenty-two billion, one million, three hundred thirty thousand".