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20132130304 = 2911131312099
BaseRepresentation
bin10010101111111101…
…111110111000000000
31220222001011011221201
4102233331332320000
5312212311132204
613125405230544
71311615166306
oct225775767000
956861134851
1020132130304
1185a1076520
123a9a262454
131b8ab8ac50
14d8da7c276
157cc66a9a4
hex4aff7ee00

20132130304 has 160 divisors (see below), whose sum is σ = 47640700800. Its totient is φ = 8378572800.

The previous prime is 20132130289. The next prime is 20132130313. The reversal of 20132130304 is 40303123102.

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, 9590247 + ... + 9592345.

It is an arithmetic number, because the mean of its divisors is an integer number (297754380).

Almost surely, 220132130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23820350400).

20132130304 is an abundant number, since it is smaller than the sum of its proper divisors (27508570496).

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

20132130304 is a wasteful number, since it uses less digits than its factorization.

20132130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20132130304 its reverse (40303123102), we get a palindrome (60435253406).

The spelling of 20132130304 in words is "twenty billion, one hundred thirty-two million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 131 143 176 208 256 262 286 352 416 512 524 572 704 832 1048 1144 1408 1441 1664 1703 2096 2099 2288 2816 2882 3328 3406 4192 4198 4576 5632 5764 6656 6812 8384 8396 9152 11528 13624 16768 16792 18304 18733 23056 23089 27248 27287 33536 33584 36608 37466 46112 46178 54496 54574 67072 67168 73216 74932 92224 92356 108992 109148 134336 149864 184448 184712 217984 218296 268672 274969 299728 300157 368896 369424 435968 436592 537344 549938 599456 600314 737792 738848 871936 873184 1074688 1099876 1198912 1200628 1477696 1746368 2199752 2397824 2401256 2955392 3024659 3492736 3574597 4399504 4795648 4802512 5910784 6049318 6985472 7149194 8799008 9591296 9605024 11821568 12098636 13970944 14298388 17598016 19210048 24197272 28596776 35196032 38420096 39320567 48394544 57193552 70392064 76840192 78641134 96789088 114387104 140784128 153680384 157282268 193578176 228774208 314564536 387156352 457548416 629129072 774312704 915096832 1258258144 1548625408 1830193664 2516516288 5033032576 10066065152 20132130304