Search a number
-
+
10701003440100 = 2235235670011467
BaseRepresentation
bin1001101110111000010110…
…0000100011111111100100
31101220000011022212200121110
42123232011200203333210
52400311123340040400
634431550105345020
72153056561310211
oct233560540437744
941800138780543
1010701003440100
1134562a7516056
121249b14498170
135c813c4683ac
1428dd077d8b08
1513855715ae50
hex9bb85823fe4

10701003440100 has 36 divisors (see below), whose sum is σ = 30961569954224. Its totient is φ = 2853600917280.

The previous prime is 10701003440077. The next prime is 10701003440119. The reversal of 10701003440100 is 104430010701.

It is a super-2 number, since 2×107010034401002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17835005434 + ... + 17835006033.

Almost surely, 210701003440100 is an apocalyptic number.

10701003440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10701003440100 is an abundant number, since it is smaller than the sum of its proper divisors (20260566514124).

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

10701003440100 is a wasteful number, since it uses less digits than its factorization.

10701003440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35670011484 (or 35670011477 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10701003440100 its reverse (104430010701), we get a palindrome (10805433450801).

The spelling of 10701003440100 in words is "ten trillion, seven hundred one billion, three million, four hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 35670011467 71340022934 107010034401 142680045868 178350057335 214020068802 356700114670 428040137604 535050172005 713400229340 891750286675 1070100344010 1783500573350 2140200688020 2675250860025 3567001146700 5350501720050 10701003440100