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21200112440 = 23513292815003
BaseRepresentation
bin10011101111101000…
…000000101100111000
32000201110202022000122
4103233220000230320
5321404212044230
613423355552412
71350233660663
oct235750005470
960643668018
1021200112440
118a99a02291
124137a5b708
131ccb20b340
1410518446da
158412c9be5
hex4efa00b38

21200112440 has 128 divisors (see below), whose sum is σ = 53340638400. Its totient is φ = 7529410560.

The previous prime is 21200112397. The next prime is 21200112449. The reversal of 21200112440 is 4421100212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200112449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4234979 + ... + 4239981.

Almost surely, 221200112440 is an apocalyptic number.

21200112440 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 21200112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26670319200).

21200112440 is an abundant number, since it is smaller than the sum of its proper divisors (32140525960).

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

21200112440 is a wasteful number, since it uses less digits than its factorization.

21200112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21200112440 its reverse (4421100212), we get a palindrome (25621212652).

The spelling of 21200112440 in words is "twenty-one billion, two hundred million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 281 290 377 520 562 580 754 1124 1160 1405 1508 1885 2248 2810 3016 3653 3770 5003 5620 7306 7540 8149 10006 11240 14612 15080 16298 18265 20012 25015 29224 32596 36530 40024 40745 50030 65039 65192 73060 81490 100060 105937 130078 145087 146120 162980 200120 211874 260156 290174 325195 325960 423748 520312 529685 580348 650390 725435 847496 1059370 1160696 1300780 1405843 1450870 1886131 2118740 2601560 2811686 2901740 3772262 4237480 5623372 5803480 7029215 7544524 9430655 11246744 14058430 15089048 18275959 18861310 28116860 36551918 37722620 40769447 56233720 73103836 75445240 81538894 91379795 146207672 163077788 182759590 203847235 326155576 365519180 407694470 530002811 731038360 815388940 1060005622 1630777880 2120011244 2650014055 4240022488 5300028110 10600056220 21200112440