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20130344320 = 275371137523
BaseRepresentation
bin10010101111110111…
…001010110110000000
31220221220210110001011
4102233313022312000
5312211332004240
613125303050304
71311564050332
oct225767126600
956856713034
1020130344320
1185a00666a9
123a99740994
131b8a6b4058
14d8d735452
157cc4166ea
hex4afdcad80

20130344320 has 128 divisors (see below), whose sum is σ = 49868771040. Its totient is φ = 7764148224.

The previous prime is 20130344261. The next prime is 20130344383. The reversal of 20130344320 is 2344303102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20130344291 and 20130344300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2672079 + ... + 2679601.

Almost surely, 220130344320 is an apocalyptic number.

20130344320 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 20130344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934385520).

20130344320 is an abundant number, since it is smaller than the sum of its proper divisors (29738426720).

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

20130344320 is a wasteful number, since it uses less digits than its factorization.

20130344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20130344320 its reverse (2344303102), we get a palindrome (22474647422).

The spelling of 20130344320 in words is "twenty billion, one hundred thirty million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 113 128 148 160 185 226 296 320 370 452 565 592 640 740 904 1130 1184 1480 1808 2260 2368 2960 3616 4181 4520 4736 5920 7232 7523 8362 9040 11840 14464 15046 16724 18080 20905 23680 30092 33448 36160 37615 41810 60184 66896 72320 75230 83620 120368 133792 150460 167240 240736 267584 278351 300920 334480 481472 535168 556702 601840 668960 850099 962944 1113404 1203680 1337920 1391755 1700198 2226808 2407360 2675840 2783510 3400396 4250495 4453616 4814720 5567020 6800792 8500990 8907232 11134040 13601584 17001980 17814464 22268080 27203168 31453663 34003960 35628928 44536160 54406336 62907326 68007920 89072320 108812672 125814652 136015840 157268315 178144640 251629304 272031680 314536630 503258608 544063360 629073260 1006517216 1258146520 2013034432 2516293040 4026068864 5032586080 10065172160 20130344320