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100026239040 = 2634571342407
BaseRepresentation
bin101110100101000000…
…1110100100001000000
3100120012000000102110000
41131022001310201000
53114323204122130
6113541301240000
710140513001110
oct1351201644100
9316160012400
10100026239040
113946a227962
1217476703000
1395810988c0
144bac731040
1529066be260
hex174a074840

100026239040 has 560 divisors, whose sum is σ = 437931470592. Its totient is φ = 21103939584.

The previous prime is 100026239039. The next prime is 100026239041. The reversal of 100026239040 is 40932620001.

100026239040 is a `hidden beast` number, since 10 + 0 + 0 + 262 + 390 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100026239039) and next prime (100026239041).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100026238995 and 100026239013.

It is not an unprimeable number, because it can be changed into a prime (100026239041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2337517 + ... + 2379923.

Almost surely, 2100026239040 is an apocalyptic number.

100026239040 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 100026239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218965735296).

100026239040 is an abundant number, since it is smaller than the sum of its proper divisors (337905231552).

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

100026239040 is a wasteful number, since it uses less digits than its factorization.

100026239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42456 (or 42437 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 100026239040 its reverse (40932620001), we get a palindrome (140958859041).

The spelling of 100026239040 in words is "one hundred billion, twenty-six million, two hundred thirty-nine thousand, forty".