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20997355302 = 23371123159251
BaseRepresentation
bin10011100011100010…
…100011011100100110
32000012100020011112000
4103203202203130212
5321000310332202
613351314110130
71342222401210
oct234342433446
960170204460
1020997355302
1189a5506900
12409bb7b346
131c981ca0c1
1410329455b0
1582d5c891c
hex4e38a3726

20997355302 has 384 divisors, whose sum is σ = 61776691200. Its totient is φ = 5167800000.

The previous prime is 20997355273. The next prime is 20997355303. The reversal of 20997355302 is 20355379902.

20997355302 is a `hidden beast` number, since 2 + 0 + 9 + 97 + 3 + 553 + 0 + 2 = 666.

It is a super-2 number, since 2×209973553022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20997355303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83654677 + ... + 83654927.

It is an arithmetic number, because the mean of its divisors is an integer number (160876800).

Almost surely, 220997355302 is an apocalyptic number.

20997355302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20997355302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888345600).

20997355302 is an abundant number, since it is smaller than the sum of its proper divisors (40779335898).

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

20997355302 is a wasteful number, since it uses less digits than its factorization.

20997355302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 20997355302 in words is "twenty billion, nine hundred ninety-seven million, three hundred fifty-five thousand, three hundred two".