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100043411320100 = 22527488611335941
BaseRepresentation
bin10110101111110100101011…
…111111100110110100100100
3111010020001112100101002020002
4112233310223333212310210
5101103102401244220400
6552435150402000432
730033616665235553
oct2657645377466444
9433201470332202
10100043411320100
1129971199622526
12b279100046118
1343a908cb859c1
141a9c1ac495d9a
15b8755a9e7ed5
hex5afd2bfe6d24

100043411320100 has 36 divisors (see below), whose sum is σ = 217094654966868. Its totient is φ = 40017281136000.

The previous prime is 100043411320081. The next prime is 100043411320129. The reversal of 100043411320100 is 1023114340001.

It can be written as a sum of positive squares in 6 ways, for example, as 4539856921636 + 95503554398464 = 2130694^2 + 9772592^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74218130 + ... + 75554070.

It is an arithmetic number, because the mean of its divisors is an integer number (6030407082413).

Almost surely, 2100043411320100 is an apocalyptic number.

100043411320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100043411320100 is an abundant number, since it is smaller than the sum of its proper divisors (117051243646768).

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

100043411320100 is a wasteful number, since it uses less digits than its factorization.

100043411320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084816 (or 2084809 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100043411320100 its reverse (1023114340001), we get a palindrome (101066525660101).

The spelling of 100043411320100 in words is "one hundred trillion, forty-three billion, four hundred eleven million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 748861 1335941 1497722 2671882 2995444 3744305 5343764 6679705 7488610 13359410 14977220 18721525 26718820 33398525 37443050 66797050 74886100 133594100 1000434113201 2000868226402 4001736452804 5002170566005 10004341132010 20008682264020 25010852830025 50021705660050 100043411320100