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10203431445 = 3252118831217
BaseRepresentation
bin10011000000010110…
…00000001000010101
3222100002120000121100
421200023000020111
5131344034301240
64404250540313
7510564510354
oct114013001025
928302500540
1010203431445
114366631079
121b89137699
13c67ba65cc
146cb19999b
153eab93e30
hex2602c0215

10203431445 has 48 divisors (see below), whose sum is σ = 17804509632. Its totient is φ = 5405460480.

The previous prime is 10203431443. The next prime is 10203431453. The reversal of 10203431445 is 54413430201.

It is a happy number.

10203431445 is a `hidden beast` number, since 10 + 203 + 4 + 3 + 1 + 445 = 666.

It is not a de Polignac number, because 10203431445 - 21 = 10203431443 is a prime.

It is a super-3 number, since 3×102034314453 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203431443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8383477 + ... + 8384693.

It is an arithmetic number, because the mean of its divisors is an integer number (370927284).

Almost surely, 210203431445 is an apocalyptic number.

10203431445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10203431445 is a deficient number, since it is larger than the sum of its proper divisors (7601078187).

10203431445 is a wasteful number, since it uses less digits than its factorization.

10203431445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10203431445 its reverse (54413430201), we get a palindrome (64616861646).

The spelling of 10203431445 in words is "ten billion, two hundred three million, four hundred thirty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 211 633 883 1055 1217 1899 2649 3165 3651 4415 6085 7947 9495 10953 13245 18255 39735 54765 186313 256787 558939 770361 931565 1074611 1283935 1676817 2311083 2794695 3223833 3851805 5373055 8384085 9671499 11555415 16119165 48357495 226742921 680228763 1133714605 2040686289 3401143815 10203431445