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1101011000100 = 2235211333639697
BaseRepresentation
bin10000000001011001010…
…111101001101100100100
310220020220100102220010220
4100001121113221230210
5121014332304000400
62201444130444340
7142355036041464
oct20013127515444
93806810386126
101101011000100
11394a33008370
121594724336b0
137ca9539729b
143b409879ba4
151d98e6067a0
hex100595e9b24

1101011000100 has 72 divisors (see below), whose sum is σ = 3475191094368. Its totient is φ = 266911756800.

The previous prime is 1101011000093. The next prime is 1101011000101. The reversal of 1101011000100 is 10001101011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1101011000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166816549 + ... + 166823148.

Almost surely, 21101011000100 is an apocalyptic number.

1101011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101011000100 is an abundant number, since it is smaller than the sum of its proper divisors (2374180094268).

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

1101011000100 is a wasteful number, since it uses less digits than its factorization.

1101011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333639725 (or 333639718 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101011000100 its reverse (10001101011), we get a palindrome (1111012101111).

The spelling of 1101011000100 in words is "one trillion, one hundred one billion, eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 333639697 667279394 1000919091 1334558788 1668198485 2001838182 3336396970 3670036667 4003676364 5004595455 6672793940 7340073334 8340992425 10009190910 11010110001 14680146668 16681984850 18350183335 20018381820 22020220002 25022977275 33363969700 36700366670 44040440004 50045954550 55050550005 73400733340 91750916675 100091909100 110101100010 183501833350 220202200020 275252750025 367003666700 550505500050 1101011000100