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21403010400 = 2535247189743
BaseRepresentation
bin10011111011101110…
…000000010101100000
32001020121112120200220
4103323232000111200
5322313132313100
613455444443040
71355246405142
oct237356002540
961217476626
1021403010400
119093494552
1241939a9480
13203126b6c5
14107077cc92
15854007aa0
hex4fbb80560

21403010400 has 144 divisors (see below), whose sum is σ = 71149446144. Its totient is φ = 5586004480.

The previous prime is 21403010393. The next prime is 21403010443. The reversal of 21403010400 is 401030412.

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 21403010400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17929 + ... + 207671.

It is an arithmetic number, because the mean of its divisors is an integer number (494093376).

Almost surely, 221403010400 is an apocalyptic number.

21403010400 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 21403010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35574723072).

21403010400 is an abundant number, since it is smaller than the sum of its proper divisors (49746435744).

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

21403010400 is a wasteful number, since it uses less digits than its factorization.

21403010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189813 (or 189800 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21403010400 its reverse (401030412), we get a palindrome (21804040812).

The spelling of 21403010400 in words is "twenty-one billion, four hundred three million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 75 80 94 96 100 120 141 150 160 188 200 235 240 282 300 376 400 470 480 564 600 705 752 800 940 1128 1175 1200 1410 1504 1880 2256 2350 2400 2820 3525 3760 4512 4700 5640 7050 7520 9400 11280 14100 18800 22560 28200 37600 56400 112800 189743 379486 569229 758972 948715 1138458 1517944 1897430 2276916 2846145 3035888 3794860 4553832 4743575 5692290 6071776 7589720 8917921 9107664 9487150 11384580 14230725 15179440 17835842 18215328 18974300 22769160 26753763 28461450 30358880 35671684 37948600 44589605 45538320 53507526 56922900 71343368 75897200 89179210 91076640 107015052 113845800 133768815 142686736 151794400 178358420 214030104 222948025 227691600 267537630 285373472 356716840 428060208 445896050 455383200 535075260 668844075 713433680 856120416 891792100 1070150520 1337688150 1426867360 1783584200 2140301040 2675376300 3567168400 4280602080 5350752600 7134336800 10701505200 21403010400