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103213410400 = 2552129016763
BaseRepresentation
bin110000000011111111…
…1111010100001100000
3100212102010020111121201
41200013333322201200
53142340113113100
6115225433330544
710312503340642
oct1400777724140
9325363214551
10103213410400
113a855308981
1218005b66a54
13996b495209
144dd1b3a892
152a413d636a
hex1807ffa860

103213410400 has 36 divisors (see below), whose sum is σ = 251969740092. Its totient is φ = 41285363840.

The previous prime is 103213410397. The next prime is 103213410407. The reversal of 103213410400 is 4014312301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213410407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64507582 + ... + 64509181.

It is an arithmetic number, because the mean of its divisors is an integer number (6999159447).

Almost surely, 2103213410400 is an apocalyptic number.

103213410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213410400 is an abundant number, since it is smaller than the sum of its proper divisors (148756329692).

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

103213410400 is a wasteful number, since it uses less digits than its factorization.

103213410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129016783 (or 129016770 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 103213410400 its reverse (4014312301), we get a palindrome (107227722701).

The spelling of 103213410400 in words is "one hundred three billion, two hundred thirteen million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 129016763 258033526 516067052 645083815 1032134104 1290167630 2064268208 2580335260 3225419075 4128536416 5160670520 6450838150 10321341040 12901676300 20642682080 25803352600 51606705200 103213410400