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1101131203320 = 233355319237093
BaseRepresentation
bin10000000001100000100…
…010001100001011111000
310220021012201121211222000
4100001200202030023320
5121020104042001240
62201504103101000
7142361025540261
oct20014042141370
93807181554860
101101131203320
11394a94948875
121594a6741760
137cab4262855
143b41b809968
151d999e4c430
hex1006088c2f8

1101131203320 has 128 divisors (see below), whose sum is σ = 3739691073600. Its totient is φ = 288094689792.

The previous prime is 1101131203309. The next prime is 1101131203331. The reversal of 1101131203320 is 233021311011.

1101131203320 is a `hidden beast` number, since 1 + 10 + 1 + 131 + 203 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1101131203309) and next prime (1101131203331).

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 = 1101131203293 and 1101131203302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9561307 + ... + 9675786.

Almost surely, 21101131203320 is an apocalyptic number.

1101131203320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101131203320 is an abundant number, since it is smaller than the sum of its proper divisors (2638559870280).

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

1101131203320 is a wasteful number, since it uses less digits than its factorization.

1101131203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19237166 (or 19237156 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1101131203320 its reverse (233021311011), we get a palindrome (1334152514331).

The spelling of 1101131203320 in words is "one trillion, one hundred one billion, one hundred thirty-one million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4770 5724 6360 7155 9540 11448 14310 19080 28620 57240 19237093 38474186 57711279 76948372 96185465 115422558 153896744 173133837 192370930 230845116 288556395 346267674 384741860 461690232 519401511 577112790 692535348 769483720 865669185 1019565929 1038803022 1154225580 1385070696 1731338370 2039131858 2077606044 2308451160 2597007555 3058697787 3462676740 4078263716 4155212088 5097829645 5194015110 6117395574 6925353480 8156527432 9176093361 10195659290 10388030220 12234791148 15293488935 18352186722 20391318580 20776060440 24469582296 27528280083 30586977870 36704373444 40782637160 45880466805 55056560166 61173955740 73408746888 91760933610 110113120332 122347911480 137641400415 183521867220 220226240664 275282800830 367043734440 550565601660 1101131203320