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100243244400 = 243521329221581
BaseRepresentation
bin101110101011011110…
…1101000010101110000
3100120202010100102211120
41131112331220111300
53120244232310100
6114015012342240
710146056342565
oct1352675502560
9316663312746
10100243244400
1139570775232
1217517314980
1395b7028240
144bcd49c86c
15291a7870a0
hex1756f68570

100243244400 has 240 divisors, whose sum is σ = 357739707360. Its totient is φ = 23824281600.

The previous prime is 100243244399. The next prime is 100243244407. The reversal of 100243244400 is 4442342001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100243244407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341610 + ... + 563190.

It is an arithmetic number, because the mean of its divisors is an integer number (1490582114).

Almost surely, 2100243244400 is an apocalyptic number.

100243244400 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 100243244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869853680).

100243244400 is an abundant number, since it is smaller than the sum of its proper divisors (257496462960).

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

100243244400 is a wasteful number, since it uses less digits than its factorization.

100243244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221644 (or 221633 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100243244400 its reverse (4442342001), we get a palindrome (104685586401).

The spelling of 100243244400 in words is "one hundred billion, two hundred forty-three million, two hundred forty-four thousand, four hundred".