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100474303104 = 27327195312373
BaseRepresentation
bin101110110010010111…
…1000011001010000000
3100121100020010102210100
41131210233003022000
53121232410144404
6114053545002400
710154563325250
oct1354457031200
9317306112710
10100474303104
113967a14103a
1217580783400
139622b68376
144c12047960
152930bc8d39
hex1764bc3280

100474303104 has 384 divisors, whose sum is σ = 354411158400. Its totient is φ = 26680762368.

The previous prime is 100474303079. The next prime is 100474303117. The reversal of 100474303104 is 401303474001.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8114262 + ... + 8126634.

It is an arithmetic number, because the mean of its divisors is an integer number (922945725).

Almost surely, 2100474303104 is an apocalyptic number.

100474303104 is a gapful number since it is divisible by the number (14) 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 100474303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177205579200).

100474303104 is an abundant number, since it is smaller than the sum of its proper divisors (253936855296).

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

100474303104 is a wasteful number, since it uses less digits than its factorization.

100474303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 100474303104 its reverse (401303474001), we get a palindrome (501777777105).

The spelling of 100474303104 in words is "one hundred billion, four hundred seventy-four million, three hundred three thousand, one hundred four".