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1101311221320 = 233253447188747
BaseRepresentation
bin10000000001101011010…
…000111001111001001000
310220021200021100201020100
4100001223100321321020
5121020441133040240
62201534013325400
7142365342632142
oct20015320717110
93807607321210
101101311221320
11395077522a82
12159536a96860
137cb1264198b
143b4376a9c92
151d9aab5ae30
hex1006b439e48

1101311221320 has 96 divisors (see below), whose sum is σ = 3579405635520. Its totient is φ = 293671163520.

The previous prime is 1101311221189. The next prime is 1101311221321. The reversal of 1101311221320 is 231221131011.

1101311221320 is a `hidden beast` number, since 1 + 10 + 1 + 311 + 2 + 21 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101311221293 and 1101311221302.

It is not an unprimeable number, because it can be changed into a prime (1101311221321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12365187 + ... + 12453933.

It is an arithmetic number, because the mean of its divisors is an integer number (37285475370).

Almost surely, 21101311221320 is an apocalyptic number.

1101311221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101311221320 is an abundant number, since it is smaller than the sum of its proper divisors (2478094414200).

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

1101311221320 is a wasteful number, since it uses less digits than its factorization.

1101311221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123235 (or 123228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101311221320 its reverse (231221131011), we get a palindrome (1332532352331).

The spelling of 1101311221320 in words is "one trillion, one hundred one billion, three hundred eleven million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 34471 68942 88747 103413 137884 172355 177494 206826 266241 275768 310239 344710 354988 413652 443735 517065 532482 620478 689420 709976 798723 827304 887470 1034130 1064964 1240956 1331205 1378840 1551195 1597446 1774940 2068260 2129928 2481912 2662410 3102390 3194892 3549880 3993615 4136520 5324820 6204780 6389784 7987230 10649640 12409560 15974460 31948920 3059197837 6118395674 9177593511 12236791348 15295989185 18355187022 24473582696 27532780533 30591978370 36710374044 45887967555 55065561066 61183956740 73420748088 91775935110 110131122132 122367913480 137663902665 183551870220 220262244264 275327805330 367103740440 550655610660 1101311221320