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100047240000 = 2632542343281
BaseRepresentation
bin101110100101101000…
…1111011101101000000
3100120020110112101100100
41131023101323231000
53114344043140000
6113543331322400
710141156336311
oct1351321735500
9316213471310
10100047240000
1139480071224
1217481750400
13958553c7c6
144bb143a608
15290846ba00
hex174b47bb40

100047240000 has 840 divisors, whose sum is σ = 383982236352. Its totient is φ = 24837120000.

The previous prime is 100047239993. The next prime is 100047240017. The reversal of 100047240000 is 42740001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 356039860 + ... + 356040140.

Almost surely, 2100047240000 is an apocalyptic number.

100047240000 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 100047240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191991118176).

100047240000 is an abundant number, since it is smaller than the sum of its proper divisors (283934996352).

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

100047240000 is a wasteful number, since it uses less digits than its factorization.

100047240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 100047240000 its reverse (42740001), we get a palindrome (100089980001).

The spelling of 100047240000 in words is "one hundred billion, forty-seven million, two hundred forty thousand".