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20131302100 = 22527213316033
BaseRepresentation
bin10010101111111010…
…110100101011010100
31220221222121002212111
4102233322310223110
5312212103131400
613125335400404
71311605146600
oct225772645324
956858532774
1020131302100
1185a0660258
123a99b23104
131b8a95aca0
14d8d904500
157cc5553ba
hex4afeb4ad4

20131302100 has 108 divisors (see below), whose sum is σ = 54726343644. Its totient is φ = 6371205120.

The previous prime is 20131302091. The next prime is 20131302101. The reversal of 20131302100 is 120313102.

It can be written as a sum of positive squares in 6 ways, for example, as 1701067536 + 18430234564 = 41244^2 + 135758^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131302101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94317 + ... + 221716.

Almost surely, 220131302100 is an apocalyptic number.

20131302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131302100 is an abundant number, since it is smaller than the sum of its proper divisors (34595041544).

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

20131302100 is a wasteful number, since it uses less digits than its factorization.

20131302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316074 (or 316060 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20131302100 its reverse (120313102), we get a palindrome (20251615202).

The spelling of 20131302100 in words is "twenty billion, one hundred thirty-one million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 316033 632066 1264132 1580165 2212231 3160330 4108429 4424462 6320660 7900825 8216858 8848924 11061155 15485617 15801650 16433716 20542145 22122310 28759003 30971234 31603300 41084290 44244620 55305775 57518006 61942468 77428085 82168580 102710725 110611550 115036012 143795015 154856170 201313021 205421450 221223100 287590030 309712340 387140425 402626042 410842900 575180060 718975075 774280850 805252084 1006565105 1437950150 1548561700 2013130210 2875900300 4026260420 5032825525 10065651050 20131302100