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20113303100 = 225211197313183
BaseRepresentation
bin10010101110110110…
…001010011000111100
31220220201201122212212
4102232312022120330
5312143001144400
613123453515552
71311266153432
oct225666123074
956821648785
1020113303100
118591487350
123a93aa2bb8
131b86cc85a7
14d8b37ad52
157cab9c335
hex4aed8a63c

20113303100 has 144 divisors (see below), whose sum is σ = 50810081280. Its totient is φ = 6833548800.

The previous prime is 20113303087. The next prime is 20113303103. The reversal of 20113303100 is 130331102.

It is a super-2 number, since 2×201133031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113303103) 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, 1519109 + ... + 1532291.

Almost surely, 220113303100 is an apocalyptic number.

20113303100 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 20113303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25405040640).

20113303100 is an abundant number, since it is smaller than the sum of its proper divisors (30696778180).

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

20113303100 is a wasteful number, since it uses less digits than its factorization.

20113303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13300 (or 13293 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 20113303100 its reverse (130331102), we get a palindrome (20243634202).

The spelling of 20113303100 in words is "twenty billion, one hundred thirteen million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 73 76 95 100 110 146 190 209 220 275 292 365 380 418 475 550 730 803 836 950 1045 1100 1387 1460 1606 1825 1900 2090 2774 3212 3650 4015 4180 5225 5548 6935 7300 8030 10450 13183 13870 15257 16060 20075 20900 26366 27740 30514 34675 40150 52732 61028 65915 69350 76285 80300 131830 138700 145013 152570 250477 263660 290026 305140 329575 381425 500954 580052 659150 725065 762850 962359 1001908 1252385 1318300 1450130 1525700 1924718 2504770 2755247 2900260 3625325 3849436 4811795 5009540 5510494 6261925 7250650 9623590 10585949 11020988 12523850 13776235 14501300 18284821 19247180 21171898 24058975 25047700 27552470 36569642 42343796 48117950 52929745 55104940 68881175 73139284 91424105 96235900 105859490 137762350 182848210 201133031 211718980 264648725 275524700 365696420 402266062 457120525 529297450 804532124 914241050 1005665155 1058594900 1828482100 2011330310 4022660620 5028325775 10056651550 20113303100