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20130142221 = 3372177971123
BaseRepresentation
bin10010101111110110…
…011001100000001101
31220221220102011211000
4102233312121200031
5312211304022341
613125254450513
71311562246200
oct225766314015
956856364730
1020130142221
11859aa38882
123a99663a39
131b8a643077
14d8d6c1937
157cc3c68b6
hex4afd9980d

20130142221 has 96 divisors (see below), whose sum is σ = 36810910080. Its totient is φ = 10803082752.

The previous prime is 20130142181. The next prime is 20130142243. The reversal of 20130142221 is 12224103102.

It is a happy number.

It is not a de Polignac number, because 20130142221 - 210 = 20130141197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20130142194 and 20130142203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130143221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17924766 + ... + 17925888.

It is an arithmetic number, because the mean of its divisors is an integer number (383446980).

Almost surely, 220130142221 is an apocalyptic number.

20130142221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20130142221 is a deficient number, since it is larger than the sum of its proper divisors (16680767859).

20130142221 is a wasteful number, since it uses less digits than its factorization.

20130142221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20130142221 its reverse (12224103102), we get a palindrome (32354245323).

The spelling of 20130142221 in words is "twenty billion, one hundred thirty million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 797 833 1071 1123 1323 2391 2499 3213 3369 5579 7173 7497 7861 10107 13549 16737 19091 21519 22491 23583 30321 39053 40647 50211 55027 57273 70749 94843 117159 121941 133637 150633 165081 171819 212247 284529 351477 365823 400911 495243 515457 663901 853587 895031 935459 1054431 1202733 1485729 1991703 2560761 2685093 2806377 3608199 5975109 6265217 8055279 8419131 15215527 17925327 18795651 24165837 25257393 43856519 45646581 56386953 106508689 131569557 136939743 169160859 319526067 394708671 410819229 745560823 958578201 1184126013 2236682469 2875734603 6710047407 20130142221