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102056103035400 = 2335210313911880527
BaseRepresentation
bin10111001101000111001001…
…110001001100001000001000
3111101100110122021220212112210
4113031013021301030020020
5101334041344334113100
61001015532042305120
730332211241445223
oct2715071161141010
9441313567825483
10102056103035400
112a577828625918
12b5431a64b81a0
1344c3b06980087
141b2b7827825ba
15bbeaa7d2dc50
hex5cd1c9c4c208

102056103035400 has 192 divisors, whose sum is σ = 321743707084800. Its totient is φ = 26756845436160.

The previous prime is 102056103035339. The next prime is 102056103035437. The reversal of 102056103035400 is 4530301650201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2649937 + ... + 14530463.

It is an arithmetic number, because the mean of its divisors is an integer number (1675748474400).

Almost surely, 2102056103035400 is an apocalyptic number.

102056103035400 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 102056103035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160871853542400).

102056103035400 is an abundant number, since it is smaller than the sum of its proper divisors (219687604049400).

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

102056103035400 is a wasteful number, since it uses less digits than its factorization.

102056103035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880788 (or 11880779 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 102056103035400 its reverse (4530301650201), we get a palindrome (106586404685601).

The spelling of 102056103035400 in words is "one hundred two trillion, fifty-six billion, one hundred three million, thirty-five thousand, four hundred".