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61661453030100 = 2232527117911262983
BaseRepresentation
bin11100000010100101011010…
…00000010001001011010100
322002022202222200101101021100
432001102231000101023110
531040230123433430400
6335050514102550100
715662615200610520
oct1601225500211324
9262282880341240
1061661453030100
11187135257a7680
126aba49ba38330
13285385b289821
141132604870d80
1571de51257100
hex3814ad0112d4

61661453030100 has 432 divisors, whose sum is σ = 244015701995520. Its totient is φ = 12650581382400.

The previous prime is 61661453030087. The next prime is 61661453030101. The reversal of 61661453030100 is 103035416616.

61661453030100 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 14 + 530 + 3 + 0 + 100 = 666.

It is a super-3 number, since 3×616614530301003 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61661453030101) 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 143 ways as a sum of consecutive naturals, for example, 156792 + ... + 11106191.

Almost surely, 261661453030100 is an apocalyptic number.

61661453030100 is a gapful number since it is divisible by the number (60) 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 61661453030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122007850997760).

61661453030100 is an abundant number, since it is smaller than the sum of its proper divisors (182354248965420).

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

61661453030100 is a wasteful number, since it uses less digits than its factorization.

61661453030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11263100 (or 11263090 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 61661453030100 its reverse (103035416616), we get a palindrome (61764488446716).

The spelling of 61661453030100 in words is "sixty-one trillion, six hundred sixty-one billion, four hundred fifty-three million, thirty thousand, one hundred".