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103212134415 = 33513237335027
BaseRepresentation
bin110000000011111101…
…1000011000000001111
3100212102000211200022000
41200013323003000033
53142334301300130
6115225350123343
710312456444605
oct1400773030017
9325360750260
10103212134415
113a854617245
1218005650553
13996b1394b0
144dd18c7875
152a41233260
hex1807ec300f

103212134415 has 128 divisors (see below), whose sum is σ = 209024686080. Its totient is φ = 47935742976.

The previous prime is 103212134413. The next prime is 103212134491. The reversal of 103212134415 is 514431212301.

103212134415 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 213 + 441 + 5 = 666.

It is not a de Polignac number, because 103212134415 - 21 = 103212134413 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 (103212134413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2929132 + ... + 2964158.

It is an arithmetic number, because the mean of its divisors is an integer number (1633005360).

Almost surely, 2103212134415 is an apocalyptic number.

103212134415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103212134415 is an abundant number, since it is smaller than the sum of its proper divisors (105812551665).

103212134415 is a wasteful number, since it uses less digits than its factorization.

103212134415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35150 (or 35144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 103212134415 its reverse (514431212301), we get a palindrome (617643346716).

The spelling of 103212134415 in words is "one hundred three billion, two hundred twelve million, one hundred thirty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 73 115 117 135 195 207 219 299 345 351 365 585 621 657 897 949 1035 1095 1495 1679 1755 1971 2691 2847 3105 3285 4485 4745 5037 8073 8395 8541 9855 13455 14235 15111 21827 25185 25623 35027 40365 42705 45333 65481 75555 105081 109135 128115 175135 196443 226665 315243 327405 455351 525405 589329 805621 945729 982215 1366053 1576215 2276755 2416863 2556971 2946645 4028105 4098159 4728645 6830265 7250589 7670913 10473073 12084315 12294477 12784855 20490795 21751767 23012739 31419219 33240623 36252945 38354565 52365365 58810333 61472385 69038217 94257657 99721869 108758835 115063695 157096095 166203115 176430999 282772971 294051665 299165607 345191085 471288285 498609345 529292997 764534329 882154995 897496821 1413864855 1495828035 1587878991 2293602987 2646464985 3822671645 4487484105 6880808961 7939394955 11468014935 20642426883 34404044805 103212134415