Search a number
-
+
97130221760000 = 2954111322331229
BaseRepresentation
bin10110000101011011100100…
…010111010110111000000000
3110201220120002011021001222202
4112011123210113112320000
5100212340143232310000
6542325001411252332
726313266304446132
oct2605334427267000
9421816064231882
1097130221760000
1128a48772005160
12aa885a28aa0a8
134227457423400
1419db1b0a2d052
15b368a75e5dd5
hex5856e45d6e00

97130221760000 has 2400 divisors, whose sum is σ = 309918898206720. Its totient is φ = 30047846400000.

The previous prime is 97130221759993. The next prime is 97130221760021. The reversal of 97130221760000 is 6712203179.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 424149439886 + ... + 424149440114.

Almost surely, 297130221760000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97130221760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154959449103360).

97130221760000 is an abundant number, since it is smaller than the sum of its proper divisors (212788676446720).

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

97130221760000 is a wasteful number, since it uses less digits than its factorization.

97130221760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

Adding to 97130221760000 its reverse (6712203179), we get a palindrome (97136933963179).

The spelling of 97130221760000 in words is "ninety-seven trillion, one hundred thirty billion, two hundred twenty-one million, seven hundred sixty thousand".