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1000011000100 = 2252719527914243
BaseRepresentation
bin11101000110101010100…
…11001110100100100100
310112121012111010021210011
432203111103032210210
5112341010304000400
62043222042140004
7132151130152210
oct16432523164444
93477174107704
101000011000100
11356114159492
121419857b1604
13733ba64a688
1436587aab940
151b02c6da8ba
hexe8d54ce924

1000011000100 has 144 divisors (see below), whose sum is σ = 2611232870400. Its totient is φ = 324731272320.

The previous prime is 1000011000091. The next prime is 1000011000103. The reversal of 1000011000100 is 10001100001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000011000100.

It is not an unprimeable number, because it can be changed into a prime (1000011000103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 70203579 + ... + 70217821.

It is an arithmetic number, because the mean of its divisors is an integer number (18133561600).

Almost surely, 21000011000100 is an apocalyptic number.

1000011000100 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 1000011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305616435200).

1000011000100 is an abundant number, since it is smaller than the sum of its proper divisors (1611221870300).

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

1000011000100 is a wasteful number, since it uses less digits than its factorization.

1000011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19562 (or 19555 counting only the distinct ones).

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

Adding to 1000011000100 its reverse (10001100001), we get a palindrome (1010012100101).

Subtracting from 1000011000100 its reverse (10001100001), we obtain a palindrome (990009900099).

The spelling of 1000011000100 in words is "one trillion, eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 5279 6650 10558 13300 14243 21116 26395 28486 36953 52790 56972 71215 73906 99701 100301 105580 131975 142430 147812 184765 199402 200602 263950 270617 284860 356075 369530 398804 401204 498505 501505 527900 541234 702107 712150 739060 923825 997010 1003010 1082468 1353085 1404214 1424300 1847650 1894319 1994020 2006020 2492525 2507525 2706170 2808428 3510535 3695300 3788638 4985050 5015050 5412340 6765425 7021070 7577276 9471595 9970100 10030100 13530850 14042140 17552675 18943190 27061700 35105350 37886380 47357975 70210700 75188797 94715950 150377594 189431900 300755188 375943985 526321579 751887970 1052643158 1428587143 1503775940 1879719925 2105286316 2631607895 2857174286 3759439850 5263215790 5714348572 7142935715 7518879700 10000110001 10526431580 13158039475 14285871430 20000220002 26316078950 28571742860 35714678575 40000440004 50000550005 52632157900 71429357150 100001100010 142858714300 200002200020 250002750025 500005500050 1000011000100