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10020434332311 = 3713352447481
BaseRepresentation
bin1001000111010001000001…
…1011011100101010010111
31022110221111022000220000000
42101310100123130222113
52303133322142113221
633151153551422343
72052644463324204
oct221642033345227
938427438026000
1010020434332311
113213707a48367
12115a03b2249b3
13578bcc805610
14268dc4d94cab
151259c3da4e26
hex91d106dca97

10020434332311 has 32 divisors (see below), whose sum is σ = 16184388373440. Its totient is φ = 6166421110080.

The previous prime is 10020434332309. The next prime is 10020434332333. The reversal of 10020434332311 is 11323343402001.

It is a happy number.

10020434332311 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 4 + 343 + 3 + 2 + 311 = 666.

It is not a de Polignac number, because 10020434332311 - 21 = 10020434332309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020434432311) 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, 176195310 + ... + 176252171.

It is an arithmetic number, because the mean of its divisors is an integer number (505762136670).

Almost surely, 210020434332311 is an apocalyptic number.

10020434332311 is a deficient number, since it is larger than the sum of its proper divisors (6163954041129).

10020434332311 is an frugal number, since it uses more digits than its factorization.

10020434332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352447515 (or 352447497 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10020434332311 its reverse (11323343402001), we get a palindrome (21343777734312).

The spelling of 10020434332311 in words is "ten trillion, twenty billion, four hundred thirty-four million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 2187 3159 9477 28431 352447481 1057342443 3172027329 4581817253 9516081987 13745451759 28548245961 41236355277 85644737883 123709065831 256934213649 371127197493 770802640947 1113381592479 3340144777437 10020434332311