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103000434120 = 233251915058543
BaseRepresentation
bin101111111101101001…
…1011110010111001000
3100211212021111012002100
41133323103132113020
53141421102342440
6115152344433400
710304306146563
oct1377323362710
9324767435070
10103000434120
113a756072721
1217b66778860
13993631674c
144db173b4da
152a2c867230
hex17fb4de5c8

103000434120 has 96 divisors (see below), whose sum is σ = 352369929600. Its totient is φ = 26021160576.

The previous prime is 103000434113. The next prime is 103000434133. The reversal of 103000434120 is 21434000301.

103000434120 is a `hidden beast` number, since 1 + 0 + 300 + 0 + 4 + 341 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103000434093 and 103000434102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7522432 + ... + 7536111.

It is an arithmetic number, because the mean of its divisors is an integer number (3670520100).

Almost surely, 2103000434120 is an apocalyptic number.

103000434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103000434120 is an abundant number, since it is smaller than the sum of its proper divisors (249369495480).

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

103000434120 is a wasteful number, since it uses less digits than its factorization.

103000434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15058579 (or 15058572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103000434120 its reverse (21434000301), we get a palindrome (124434434421).

The spelling of 103000434120 in words is "one hundred three billion, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 15058543 30117086 45175629 60234172 75292715 90351258 120468344 135526887 150585430 180702516 225878145 271053774 286112317 301170860 361405032 451756290 542107548 572224634 602341720 677634435 858336951 903512580 1084215096 1144449268 1355268870 1430561585 1716673902 1807025160 2288898536 2575010853 2710537740 2861123170 3433347804 4291684755 5150021706 5421075480 5722246340 6866695608 8583369510 10300043412 11444492680 12875054265 17166739020 20600086824 25750108530 34333478040 51500217060 103000434120