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21204043400 = 23523114512357
BaseRepresentation
bin10011101111110111…
…000000011010001000
32000201202011000021202
4103233313000122020
5321411213342100
613424020123332
71350312252341
oct235767003210
960652130252
1021204043400
118aa1147711
124139236548
131ccbc86657
1410521890c8
158418047d5
hex4efdc0688

21204043400 has 96 divisors (see below), whose sum is σ = 50946382080. Its totient is φ = 8198880000.

The previous prime is 21204043387. The next prime is 21204043411. The reversal of 21204043400 is 434040212.

It is a super-2 number, since 2×212040434002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8995022 + ... + 8997378.

It is an arithmetic number, because the mean of its divisors is an integer number (530691480).

Almost surely, 221204043400 is an apocalyptic number.

21204043400 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 21204043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25473191040).

21204043400 is an abundant number, since it is smaller than the sum of its proper divisors (29742338680).

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

21204043400 is a wasteful number, since it uses less digits than its factorization.

21204043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21204043400 its reverse (434040212), we get a palindrome (21638083612).

The spelling of 21204043400 in words is "twenty-one billion, two hundred four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1451 1550 2357 2902 3100 4714 5804 6200 7255 9428 11608 11785 14510 18856 23570 29020 36275 44981 47140 58040 58925 72550 73067 89962 94280 117850 145100 146134 179924 224905 235700 290200 292268 359848 365335 449810 471400 584536 730670 899620 1124525 1461340 1799240 1826675 2249050 2922680 3420007 3653350 4498100 6840014 7306700 8996200 13680028 14613400 17100035 27360056 34200070 68400140 85500175 106020217 136800280 171000350 212040434 342000700 424080868 530101085 684001400 848161736 1060202170 2120404340 2650505425 4240808680 5301010850 10602021700 21204043400