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21114202300 = 22521731521769
BaseRepresentation
bin10011101010100000…
…010010100010111100
32000111111002121110121
4103222200102202330
5321220213433200
613411050344324
71345141521052
oct235240224274
960444077417
1021114202300
118a55464774
12411312b0a4
131cb648bb39
1410442801d2
158389a9e1a
hex4ea8128bc

21114202300 has 144 divisors (see below), whose sum is σ = 50239284480. Its totient is φ = 7667712000.

The previous prime is 21114202279. The next prime is 21114202321. The reversal of 21114202300 is 320241112.

It is an interprime number because it is at equal distance from previous prime (21114202279) and next prime (21114202321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27456316 + ... + 27457084.

It is an arithmetic number, because the mean of its divisors is an integer number (348883920).

Almost surely, 221114202300 is an apocalyptic number.

21114202300 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 21114202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119642240).

21114202300 is an abundant number, since it is smaller than the sum of its proper divisors (29125082180).

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

21114202300 is a wasteful number, since it uses less digits than its factorization.

21114202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21114202300 its reverse (320241112), we get a palindrome (21434443412).

The spelling of 21114202300 in words is "twenty-one billion, one hundred fourteen million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 521 527 620 769 775 850 1042 1054 1538 1550 1700 2084 2108 2605 2635 3076 3100 3845 5210 5270 7690 8857 10420 10540 13025 13073 13175 15380 16151 17714 19225 23839 26050 26146 26350 32302 35428 38450 44285 47678 52100 52292 52700 64604 65365 76900 80755 88570 95356 119195 130730 161510 177140 221425 238390 261460 274567 323020 326825 400649 403775 405263 442850 476780 549134 595975 653650 801298 807550 810526 885700 1098268 1191950 1307300 1372835 1602596 1615100 1621052 2003245 2026315 2383900 2745670 4006490 4052630 5491340 6811033 6864175 8012980 8105260 10016225 10131575 12420119 13622066 13728350 20032450 20263150 24840238 27244132 27456700 34055165 40064900 40526300 49680476 62100595 68110330 124201190 136220660 170275825 211142023 248402380 310502975 340551650 422284046 621005950 681103300 844568092 1055710115 1242011900 2111420230 4222840460 5278550575 10557101150 21114202300