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100231220040 = 233571711296217
BaseRepresentation
bin101110101011000111…
…1110000101101001000
3100120201021201112111220
41131112033300231020
53120233143020130
6114013502522040
710145552212260
oct1352617605510
9316637645456
10100231220040
1139564a02146
1217513296320
1395b46a8133
144bcba4c7a0
1529196ae410
hex17563f0b48

100231220040 has 256 divisors, whose sum is σ = 364245465600. Its totient is φ = 21539782656.

The previous prime is 100231220021. The next prime is 100231220081. The reversal of 100231220040 is 40022132001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 16119012 + ... + 16125228.

It is an arithmetic number, because the mean of its divisors is an integer number (1422833850).

Almost surely, 2100231220040 is an apocalyptic number.

100231220040 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 100231220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182122732800).

100231220040 is an abundant number, since it is smaller than the sum of its proper divisors (264014245560).

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

100231220040 is a wasteful number, since it uses less digits than its factorization.

100231220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100231220040 its reverse (40022132001), we get a palindrome (140253352041).

The spelling of 100231220040 in words is "one hundred billion, two hundred thirty-one million, two hundred twenty thousand, forty".