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21210200010000 = 243254235668889
BaseRepresentation
bin1001101001010011000100…
…11011111110110100010000
32210002200020022021210220100
410310221202123332310100
510240001442200310000
6113035455324212400
74316246346255261
oct464514233766420
983080208253810
1021210200010000
116838216a58661
12246681909a100
13bab161b47901
145348172d0968
1526bad528ba00
hex134a626fed10

21210200010000 has 150 divisors (see below), whose sum is σ = 74175133445270. Its totient is φ = 5656053312000.

The previous prime is 21210200009959. The next prime is 21210200010011. The reversal of 21210200010000 is 1000201212.

Adding to 21210200010000 its reverse (1000201212), we get a palindrome (21211200211212).

21210200010000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 2619581094144 + 18590618915856 = 1618512^2 + 4311684^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117744445 + ... + 117924444.

Almost surely, 221210200010000 is an apocalyptic number.

21210200010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210200010000 is an abundant number, since it is smaller than the sum of its proper divisors (52964933435270).

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

21210200010000 is a wasteful number, since it uses less digits than its factorization.

21210200010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235668923 (or 235668899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The spelling of 21210200010000 in words is "twenty-one trillion, two hundred ten billion, two hundred million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 235668889 471337778 707006667 942675556 1178344445 1414013334 1885351112 2121020001 2356688890 2828026668 3535033335 3770702224 4242040002 4713377780 5656053336 5891722225 7070066670 8484080004 9426755560 10605100005 11312106672 11783444450 14140133340 16968160008 17675166675 18853511120 21210200010 23566888900 28280266680 29458611125 33936320016 35350333350 42420400020 47133777800 53025500025 56560533360 58917222250 70700666700 84840800040 88375833375 94267555600 106051000050 117834444500 141401333400 147293055625 169681600080 176751666750 212102000100 235668889000 265127500125 282802666800 294586111250 353503333500 424204000200 441879166875 471337778000 530255000250 589172222500 707006667000 848408000400 883758333750 1060510000500 1178344445000 1325637500625 1414013334000 1767516667500 2121020001000 2356688890000 2651275001250 3535033335000 4242040002000 5302550002500 7070066670000 10605100005000 21210200010000