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103432144020 = 223523411828069
BaseRepresentation
bin110000001010100001…
…0010100010010010100
3100212222100211022201220
41200111002110102110
53143312112102040
6115303245450340
710321100501202
oct1402502242224
9325870738656
10103432144020
113a957826767
12180672709b0
1399a48ab3aa
145012bd8072
152a556e12d0
hex1815094494

103432144020 has 96 divisors (see below), whose sum is σ = 309572686080. Its totient is φ = 25739197440.

The previous prime is 103432143977. The next prime is 103432144027. The reversal of 103432144020 is 20441234301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103432144027) 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, 857455 + ... + 970614.

It is an arithmetic number, because the mean of its divisors is an integer number (3224715480).

Almost surely, 2103432144020 is an apocalyptic number.

103432144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103432144020 is an abundant number, since it is smaller than the sum of its proper divisors (206140542060).

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

103432144020 is a wasteful number, since it uses less digits than its factorization.

103432144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828145 (or 1828143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103432144020 its reverse (20441234301), we get a palindrome (123873378321).

The spelling of 103432144020 in words is "one hundred three billion, four hundred thirty-two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 615 690 820 943 1230 1380 1886 2460 2829 3772 4715 5658 9430 11316 14145 18860 28290 56580 1828069 3656138 5484207 7312276 9140345 10968414 18280690 21936828 27421035 36561380 42045587 54842070 74950829 84091174 109684140 126136761 149901658 168182348 210227935 224852487 252273522 299803316 374754145 420455870 449704974 504547044 630683805 749508290 840911740 899409948 1124262435 1261367610 1499016580 1723869067 2248524870 2522735220 3447738134 4497049740 5171607201 6895476268 8619345335 10343214402 17238690670 20686428804 25858036005 34477381340 51716072010 103432144020