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103355454400 = 26521123924571
BaseRepresentation
bin110000001000001110…
…1110001001111000000
3100212210000112002100121
41200100131301033000
53143132444020100
6115251510030024
710316146603252
oct1402035611700
9325700462317
10103355454400
113a918506710
1218045648314
139991a39a13
145006953cd2
152a4dae351a
hex18107713c0

103355454400 has 168 divisors, whose sum is σ = 278611096320. Its totient is φ = 37425024000.

The previous prime is 103355454281. The next prime is 103355454403. The reversal of 103355454400 is 4454553301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103355454403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4194115 + ... + 4218685.

Almost surely, 2103355454400 is an apocalyptic number.

103355454400 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 103355454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139305548160).

103355454400 is an abundant number, since it is smaller than the sum of its proper divisors (175255641920).

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

103355454400 is a wasteful number, since it uses less digits than its factorization.

103355454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24843 (or 24828 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

It can be divided in two parts, 103355 and 454400, that added together give a palindrome (557755).

The spelling of 103355454400 in words is "one hundred three billion, three hundred fifty-five million, four hundred fifty-four thousand, four hundred".