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20330111100 = 22352139835303
BaseRepresentation
bin10010111011110001…
…001110000001111100
31221110211200122112210
4102323301032001330
5313114002023400
613201200500420
71316541043635
oct227361160174
957424618483
1020330111100
1186928aa412
123b3461a710
131bbcbb9150
14dac09688c
157dec26950
hex4bbc4e07c

20330111100 has 144 divisors (see below), whose sum is σ = 63422940672. Its totient is φ = 4998301440.

The previous prime is 20330111099. The next prime is 20330111101. The reversal of 20330111100 is 111103302.

It is an interprime number because it is at equal distance from previous prime (20330111099) and next prime (20330111101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330111101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3831049 + ... + 3836351.

It is an arithmetic number, because the mean of its divisors is an integer number (440437088).

Almost surely, 220330111100 is an apocalyptic number.

20330111100 is a gapful number since it is divisible by the number (20) 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 20330111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711470336).

20330111100 is an abundant number, since it is smaller than the sum of its proper divisors (43092829572).

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

20330111100 is a wasteful number, since it uses less digits than its factorization.

20330111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 20330111100 its reverse (111103302), we get a palindrome (20441214402).

The spelling of 20330111100 in words is "twenty billion, three hundred thirty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 983 1300 1950 1966 2949 3900 3932 4915 5303 5898 9830 10606 11796 12779 14745 15909 19660 21212 24575 25558 26515 29490 31818 38337 49150 51116 53030 58980 63636 63895 68939 73725 76674 79545 98300 106060 127790 132575 137878 147450 153348 159090 191685 206817 255580 265150 275756 294900 318180 319475 344695 383370 397725 413634 530300 638950 689390 766740 795450 827268 958425 1034085 1277900 1378780 1590900 1723475 1916850 2068170 3446950 3833700 4136340 5170425 5212849 6893900 10340850 10425698 15638547 20681700 20851396 26064245 31277094 52128490 62554188 67767037 78192735 104256980 130321225 135534074 156385470 203301111 260642450 271068148 312770940 338835185 390963675 406602222 521284900 677670370 781927350 813204444 1016505555 1355340740 1563854700 1694175925 2033011110 3388351850 4066022220 5082527775 6776703700 10165055550 20330111100