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10010000011000 = 2353111019009901
BaseRepresentation
bin1001000110101010001001…
…1111101010111011111000
31022102221120010000110001011
42101222202133222323320
52303000440000323000
633142310332003304
72052125063133313
oct221524237527370
938387503013034
1010010000011000
11320a243056320
121158008900534
13577c28b4a9b2
142686b529597a
151255b2d042ba
hex91aa27eaef8

10010000011000 has 128 divisors (see below), whose sum is σ = 25805800912320. Its totient is φ = 3603960000000.

The previous prime is 10010000010919. The next prime is 10010000011001. The reversal of 10010000011000 is 11000001001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3393951 + ... + 5615950.

Almost surely, 210010000011000 is an apocalyptic number.

10010000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010000011000 is an abundant number, since it is smaller than the sum of its proper divisors (15795800901320).

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

10010000011000 is a wasteful number, since it uses less digits than its factorization.

10010000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010034 (or 9010020 counting only the distinct ones).

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

Adding to 10010000011000 its reverse (11000001001), we get a palindrome (10021000012001).

Subtracting from 10010000011000 its reverse (11000001001), we obtain a palindrome (9999000009999).

It can be divided in two parts, 1001000001 and 1000, that added together give a palindrome (1001001001).

The spelling of 10010000011000 in words is "ten trillion, ten billion, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 111100 138875 222200 277750 555500 1111000 9009901 18019802 36039604 45049505 72079208 90099010 99108911 180198020 198217822 225247525 360396040 396435644 450495050 495544555 792871288 900990100 910000001 991089110 1126237625 1801980200 1820000002 1982178220 2252475250 2477722775 3640000004 3964356440 4504950500 4550000005 4955445550 7280000008 9009901000 9100000010 9910891100 10010000011 12388613875 18200000020 19821782200 20020000022 22750000025 24777227750 36400000040 40040000044 45500000050 49554455500 50050000055 80080000088 91000000100 99108911000 100100000110 113750000125 182000000200 200200000220 227500000250 250250000275 400400000440 455000000500 500500000550 910000001000 1001000001100 1251250001375 2002000002200 2502500002750 5005000005500 10010000011000