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10001000110000 = 24543109321679
BaseRepresentation
bin1001000110001000101000…
…0011110001011110110000
31022102002022220010002211111
42101202022003301132300
52302324022012010000
633134221312523104
72051356051214014
oct221421203613660
938362286102744
1010001000110000
113206444922509
121156316850494
135771234037a3
1426809dca8544
15125237b46cba
hex9188a0f17b0

10001000110000 has 100 divisors (see below), whose sum is σ = 24221284832800. Its totient is φ = 3999100896000.

The previous prime is 10001000109937. The next prime is 10001000110037. The reversal of 10001000110000 is 1100010001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30929161 + ... + 31250839.

It is an arithmetic number, because the mean of its divisors is an integer number (242212848328).

Almost surely, 210001000110000 is an apocalyptic number.

10001000110000 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 10001000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110642416400).

10001000110000 is an abundant number, since it is smaller than the sum of its proper divisors (14220284722800).

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

10001000110000 is an equidigital number, since it uses as much as digits as its factorization.

10001000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324816 (or 324795 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10001000110000 its reverse (1100010001), we get a palindrome (10002100120001).

Subtracting from 10001000110000 its reverse (1100010001), we obtain a palindrome (9999900099999).

It can be divided in two parts, 100010001 and 10000, that added together give a palindrome (100020001).

The spelling of 10001000110000 in words is "ten trillion, one billion, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3109 5000 6218 10000 12436 15545 24872 31090 49744 62180 77725 124360 155450 248720 310900 321679 388625 621800 643358 777250 1243600 1286716 1554500 1608395 1943125 2573432 3109000 3216790 3886250 5146864 6218000 6433580 7772500 8041975 12867160 15545000 16083950 25734320 31090000 32167900 40209875 64335800 80419750 128671600 160839500 201049375 321679000 402098750 643358000 804197500 1000100011 1608395000 2000200022 3216790000 4000400044 5000500055 8000800088 10001000110 16001600176 20002000220 25002500275 40004000440 50005000550 80008000880 100010001100 125012501375 200020002200 250025002750 400040004400 500050005500 625062506875 1000100011000 1250125013750 2000200022000 2500250027500 5000500055000 10001000110000