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20130034410 = 2335533673833
BaseRepresentation
bin10010101111110101…
…111111001011101010
31220221220012200221000
4102233311333023222
5312211242100120
613125252255430
71311561316653
oct225765771352
956856180830
1020130034410
11859a974882
123a99611576
131b8a605c85
14d8d69452a
157cc3a4990
hex4afd7f2ea

20130034410 has 128 divisors (see below), whose sum is σ = 54856258560. Its totient is φ = 5251004928.

The previous prime is 20130034403. The next prime is 20130034427. The reversal of 20130034410 is 1443003102.

20130034410 is a `hidden beast` number, since 20 + 1 + 300 + 344 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5249854 + ... + 5253686.

It is an arithmetic number, because the mean of its divisors is an integer number (428564520).

Almost surely, 220130034410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130034410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27428129280).

20130034410 is an abundant number, since it is smaller than the sum of its proper divisors (34726224150).

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

20130034410 is a wasteful number, since it uses less digits than its factorization.

20130034410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20130034410 its reverse (1443003102), we get a palindrome (21573037512).

The spelling of 20130034410 in words is "twenty billion, one hundred thirty million, thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 367 477 530 734 795 954 1101 1431 1590 1835 2202 2385 2862 3303 3670 3833 4770 5505 6606 7155 7666 9909 11010 11499 14310 16515 19165 19451 19818 22998 33030 34497 38330 38902 49545 57495 58353 68994 97255 99090 103491 114990 116706 172485 175059 194510 203149 206982 291765 344970 350118 406298 517455 525177 583530 609447 875295 1015745 1034910 1050354 1218894 1406711 1750590 1828341 2031490 2625885 2813422 3047235 3656682 4220133 5251770 5485023 6094470 7033555 8440266 9141705 10970046 12660399 14067110 18283410 21100665 25320798 27425115 37981197 42201330 54850230 63301995 74555683 75962394 126603990 149111366 189905985 223667049 372778415 379811970 447334098 671001147 745556830 1118335245 1342002294 2013003441 2236670490 3355005735 4026006882 6710011470 10065017205 20130034410