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61328112200 = 23523123394229
BaseRepresentation
bin111001000111011100…
…001011101001001000
312212022001122220011222
4321013130023221020
52001044444042300
644101310141212
74300524231635
oct710734135110
9185261586158
1061328112200
1124011136453
12ba767b1808
135a24958ab4
142d7b01118c
1518de147785
hexe4770ba48

61328112200 has 96 divisors (see below), whose sum is σ = 147285216000. Its totient is φ = 23724153600.

The previous prime is 61328112161. The next prime is 61328112217. The reversal of 61328112200 is 221182316.

It is a super-2 number, since 2×613281122002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61328112200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14499686 + ... + 14503914.

It is an arithmetic number, because the mean of its divisors is an integer number (1534221000).

Almost surely, 261328112200 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 61328112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73642608000).

61328112200 is an abundant number, since it is smaller than the sum of its proper divisors (85957103800).

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

61328112200 is a wasteful number, since it uses less digits than its factorization.

61328112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 61328112200 its reverse (221182316), we get a palindrome (61549294516).

The spelling of 61328112200 in words is "sixty-one billion, three hundred twenty-eight million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 2339 3100 4229 4678 6200 8458 9356 11695 16916 18712 21145 23390 33832 42290 46780 58475 72509 84580 93560 105725 116950 131099 145018 169160 211450 233900 262198 290036 362545 422900 467800 524396 580072 655495 725090 845800 1048792 1310990 1450180 1812725 2621980 2900360 3277475 3625450 5243960 6554950 7250900 9891631 13109900 14501800 19783262 26219800 39566524 49458155 79133048 98916310 197832620 247290775 306640561 395665240 494581550 613281122 989163100 1226562244 1533202805 1978326200 2453124488 3066405610 6132811220 7666014025 12265622440 15332028050 30664056100 61328112200