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21336986100 = 22352378572243
BaseRepresentation
bin10011110111110010…
…001001000111110100
32001002000022012101110
4103313302021013310
5322144232023400
613445125355020
71353515250363
oct236762110764
961060265343
1021336986100
11905a199511
124175868a70
132020692681
141065ab37da
1584d314e50
hex4f7c891f4

21336986100 has 144 divisors (see below), whose sum is σ = 63505810368. Its totient is φ = 5527157760.

The previous prime is 21336986053. The next prime is 21336986117. The reversal of 21336986100 is 168963312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9511579 + ... + 9513821.

It is an arithmetic number, because the mean of its divisors is an integer number (441012572).

Almost surely, 221336986100 is an apocalyptic number.

21336986100 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 21336986100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752905184).

21336986100 is an abundant number, since it is smaller than the sum of its proper divisors (42168824268).

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

21336986100 is a wasteful number, since it uses less digits than its factorization.

21336986100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 21336986100 in words is "twenty-one billion, three hundred thirty-six million, nine hundred eighty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 857 925 1110 1714 1850 2220 2243 2571 2775 3428 3700 4285 4486 5142 5550 6729 8570 8972 10284 11100 11215 12855 13458 17140 21425 22430 25710 26916 31709 33645 42850 44860 51420 56075 63418 64275 67290 82991 85700 95127 112150 126836 128550 134580 158545 165982 168225 190254 224300 248973 257100 317090 331964 336450 380508 414955 475635 497946 634180 672900 792725 829910 951270 995892 1244865 1585450 1659820 1902540 1922251 2074775 2378175 2489730 3170900 3844502 4149550 4756350 4979460 5766753 6224325 7689004 8299100 9512700 9611255 11533506 12448650 19222510 23067012 24897300 28833765 38445020 48056275 57667530 71123287 96112550 115335060 142246574 144168825 192225100 213369861 284493148 288337650 355616435 426739722 576675300 711232870 853479444 1066849305 1422465740 1778082175 2133698610 3556164350 4267397220 5334246525 7112328700 10668493050 21336986100