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20020350312 = 23331931157363
BaseRepresentation
bin10010101001010011…
…100100110101101000
31220200020211011122000
4102221103210311220
5312000202202222
613110333331000
71306060112154
oct225123446550
956606734560
1020020350312
118543a69566
123a68936a60
131b70981641
14d7cca2064
157c293a9ac
hex4a94e4d68

20020350312 has 128 divisors (see below), whose sum is σ = 60427776000. Its totient is φ = 6118234560.

The previous prime is 20020350277. The next prime is 20020350319. The reversal of 20020350312 is 21305302002.

20020350312 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 350 + 312 = 666.

It is a super-3 number, since 3×200203503123 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20020350319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48543 + ... + 205905.

It is an arithmetic number, because the mean of its divisors is an integer number (472092000).

Almost surely, 220020350312 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 20020350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213888000).

20020350312 is an abundant number, since it is smaller than the sum of its proper divisors (40407425688).

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

20020350312 is a wasteful number, since it uses less digits than its factorization.

20020350312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157428 (or 157418 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 20020350312 its reverse (21305302002), we get a palindrome (41325652314).

The spelling of 20020350312 in words is "twenty billion, twenty million, three hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1674 1767 2052 2232 2356 3348 3534 4104 4712 5301 6696 7068 10602 14136 15903 21204 31806 42408 63612 127224 157363 314726 472089 629452 944178 1258904 1416267 1888356 2832534 2989897 3776712 4248801 4878253 5665068 5979794 8497602 8969691 9756506 11330136 11959588 14634759 16995204 17939382 19513012 23919176 26909073 29269518 33990408 35878764 39026024 43904277 53818146 58539036 71757528 80727219 87808554 92686807 107636292 117078072 131712831 161454438 175617108 185373614 215272584 263425662 278060421 322908876 351234216 370747228 526851324 556120842 645817752 741494456 834181263 1053702648 1112241684 1668362526 2224483368 2502543789 3336725052 5005087578 6673450104 10010175156 20020350312