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21021104400 = 2435285920393
BaseRepresentation
bin10011100100111101…
…001001100100010000
32000020222220202011020
4103210331021210100
5321022400320100
613353523115440
71342631303442
oct234475114420
960228822136
1021021104400
118a0795795a
1240a7b12b80
131ca00c3b1a
141035b68492
1583071a5a0
hex4e4f49910

21021104400 has 120 divisors (see below), whose sum is σ = 67419300960. Its totient is φ = 5598827520.

The previous prime is 21021104393. The next prime is 21021104407. The reversal of 21021104400 is 440112012.

It is an interprime number because it is at equal distance from previous prime (21021104393) and next prime (21021104407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21021104400.

It is not an unprimeable number, because it can be changed into a prime (21021104407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020604 + ... + 1040996.

It is an arithmetic number, because the mean of its divisors is an integer number (561827508).

Almost surely, 221021104400 is an apocalyptic number.

21021104400 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 21021104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33709650480).

21021104400 is an abundant number, since it is smaller than the sum of its proper divisors (46398196560).

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

21021104400 is a wasteful number, since it uses less digits than its factorization.

21021104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21273 (or 21262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21021104400 its reverse (440112012), we get a palindrome (21461216412).

The spelling of 21021104400 in words is "twenty-one billion, twenty-one million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 859 1200 1718 2577 3436 4295 5154 6872 8590 10308 12885 13744 17180 20393 20616 21475 25770 34360 40786 41232 42950 51540 61179 64425 68720 81572 85900 101965 103080 122358 128850 163144 171800 203930 206160 244716 257700 305895 326288 343600 407860 489432 509825 515400 611790 815720 978864 1019650 1030800 1223580 1529475 1631440 2039300 2447160 3058950 4078600 4894320 6117900 8157200 12235800 17517587 24471600 35035174 52552761 70070348 87587935 105105522 140140696 175175870 210211044 262763805 280281392 350351740 420422088 437939675 525527610 700703480 840844176 875879350 1051055220 1313819025 1401406960 1751758700 2102110440 2627638050 3503517400 4204220880 5255276100 7007034800 10510552200 21021104400