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10124140030400 = 265211814770607
BaseRepresentation
bin1001001101010011010111…
…0001010010100111000000
31022211212011201121012101002
42103110311301102213000
52311333214321433100
633310544332431132
72063305425241214
oct223246561224700
938755151535332
1010124140030400
113253695125270
1211761620184a8
13585918c82406
1427002223a944
151285435ce2d5
hex93535c529c0

10124140030400 has 168 divisors, whose sum is σ = 27180133860096. Its totient is φ = 3681001446400.

The previous prime is 10124140030373. The next prime is 10124140030427. The reversal of 10124140030400 is 403004142101.

It is an interprime number because it is at equal distance from previous prime (10124140030373) and next prime (10124140030427).

It is a super-2 number, since 2×101241400304002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 143351897 + ... + 143422503.

It is an arithmetic number, because the mean of its divisors is an integer number (161786511072).

Almost surely, 210124140030400 is an apocalyptic number.

10124140030400 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 10124140030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590066930048).

10124140030400 is an abundant number, since it is smaller than the sum of its proper divisors (17055993829696).

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

10124140030400 is a wasteful number, since it uses less digits than its factorization.

10124140030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78787 (or 78772 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10124140030400 its reverse (403004142101), we get a palindrome (10527144172501).

The spelling of 10124140030400 in words is "ten trillion, one hundred twenty-four billion, one hundred forty million, thirty thousand, four hundred".