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1101222011320 = 235475411082729
BaseRepresentation
bin10000000001100101111…
…100100110000110111000
310220021110001111101010021
4100001211330212012320
5121020300313330240
62201521105300224
7142363210436524
oct20014574460670
93807401441107
101101222011320
11395031131202
12159511034674
137caca0084b2
143b4298c6d84
151d9a2dd854a
hex10065f261b8

1101222011320 has 64 divisors (see below), whose sum is σ = 2535147331200. Its totient is φ = 430319416320.

The previous prime is 1101222011251. The next prime is 1101222011333. The reversal of 1101222011320 is 231102221011.

It is a junction number, because it is equal to n+sod(n) for n = 1101222011294 and 1101222011303.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 475716 + ... + 1558444.

It is an arithmetic number, because the mean of its divisors is an integer number (39611677050).

Almost surely, 21101222011320 is an apocalyptic number.

1101222011320 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 1101222011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267573665600).

1101222011320 is an abundant number, since it is smaller than the sum of its proper divisors (1433925319880).

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

1101222011320 is a wasteful number, since it uses less digits than its factorization.

1101222011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083328 (or 1083324 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1101222011320 its reverse (231102221011), we get a palindrome (1332324232331).

The spelling of 1101222011320 in words is "one trillion, one hundred one billion, two hundred twenty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 541 940 1082 1880 2164 2705 4328 5410 10820 21640 25427 50854 101708 127135 203416 254270 508540 1017080 1082729 2165458 4330916 5413645 8661832 10827290 21654580 43309160 50888263 101776526 203553052 254441315 407106104 508882630 585756389 1017765260 1171512778 2035530520 2343025556 2928781945 4686051112 5857563890 11715127780 23430255560 27530550283 55061100566 110122201132 137652751415 220244402264 275305502830 550611005660 1101222011320