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103121205132 = 2231113122032707
BaseRepresentation
bin110000000001010000…
…0001011011110001100
3100212011200201222202210
41200002200023132030
53142143012031012
6115212341150420
710310303531631
oct1400240133614
9325150658683
10103121205132
113a808260780
1217b9b0bb410
13995535059a
144dc37b8188
152a3827123c
hex180280b78c

103121205132 has 96 divisors (see below), whose sum is σ = 264711896064. Its totient is φ = 30984782400.

The previous prime is 103121205119. The next prime is 103121205133. The reversal of 103121205132 is 231502121301.

It is a junction number, because it is equal to n+sod(n) for n = 103121205099 and 103121205108.

It is not an unprimeable number, because it can be changed into a prime (103121205133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38092923 + ... + 38095629.

It is an arithmetic number, because the mean of its divisors is an integer number (2757415584).

Almost surely, 2103121205132 is an apocalyptic number.

103121205132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121205132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132355948032).

103121205132 is an abundant number, since it is smaller than the sum of its proper divisors (161590690932).

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

103121205132 is a wasteful number, since it uses less digits than its factorization.

103121205132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 103121205132 its reverse (231502121301), we get a palindrome (334623326433).

The spelling of 103121205132 in words is "one hundred three billion, one hundred twenty-one million, two hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2203 2707 2882 4323 4406 5414 5764 6609 8121 8646 8812 10828 13218 16242 17292 24233 26436 29777 32484 48466 59554 72699 89331 96932 119108 145398 178662 288593 290796 354617 357324 577186 709234 865779 1063851 1154372 1418468 1731558 2127702 3174523 3463116 3900787 4255404 5963521 6349046 7801574 9523569 11702361 11927042 12698092 15603148 17890563 19047138 23404722 23854084 35781126 38094276 46809444 65598731 71562252 131197462 196796193 262394924 393592386 781221251 787184772 1562442502 2343663753 3124885004 4687327506 8593433761 9374655012 17186867522 25780301283 34373735044 51560602566 103121205132