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10001011100 = 2252412719001
BaseRepresentation
bin10010101000001101…
…10101000110011100
3221210222200000002112
421110012311012130
5130440224323400
64332220213152
7502556122523
oct112406650634
927728600075
1010001011100
114272345733
121b3139a1b8
13c34c82762
146ac3474ba
153d800c835
hex2541b519c

10001011100 has 72 divisors (see below), whose sum is σ = 22316030016. Its totient is φ = 3888000000.

The previous prime is 10001011049. The next prime is 10001011103. The reversal of 10001011100 is 111010001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106600 + ... + 1115600.

Almost surely, 210001011100 is an apocalyptic number.

10001011100 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 10001011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158015008).

10001011100 is an abundant number, since it is smaller than the sum of its proper divisors (12315018916).

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

10001011100 is a wasteful number, since it uses less digits than its factorization.

10001011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10001011100 its reverse (111010001), we get a palindrome (10112021101).

The spelling of 10001011100 in words is "ten billion, one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 9001 11111 13550 18002 22222 27100 36004 44444 45005 55555 90010 111110 180020 222220 225025 277775 369041 450050 555550 738082 900100 1111100 1476164 1845205 2439271 3690410 4878542 7380820 9226025 9757084 12196355 18452050 24392710 36904100 48785420 60981775 100010111 121963550 200020222 243927100 400040444 500050555 1000101110 2000202220 2500252775 5000505550 10001011100