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5106120300 = 22325254110487
BaseRepresentation
bin1001100000101100…
…10011011001101100
3111011212001210020200
410300112103121230
540424131322200
62202401513500
7240351210051
oct46026233154
914155053220
105106120300
1121902a9836
12ba6042890
13634b36078
14366207028
151ed419800
hex13059366c

5106120300 has 108 divisors (see below), whose sum is σ = 16035963216. Its totient is φ = 1358985600.

The previous prime is 5106120281. The next prime is 5106120307. The reversal of 5106120300 is 30216015.

5106120300 is a `hidden beast` number, since 51 + 0 + 612 + 0 + 3 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5106120307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 481657 + ... + 492143.

Almost surely, 25106120300 is an apocalyptic number.

5106120300 is a gapful number since it is divisible by the number (50) 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 5106120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017981608).

5106120300 is an abundant number, since it is smaller than the sum of its proper divisors (10929842916).

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

5106120300 is a wasteful number, since it uses less digits than its factorization.

5106120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5106120300 is about 71457.1221082965. The cubic root of 5106120300 is about 1721.9888994740.

Adding to 5106120300 its reverse (30216015), we get a palindrome (5136336315).

The spelling of 5106120300 in words is "five billion, one hundred six million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 541 900 1082 1623 2164 2705 3246 4869 5410 6492 8115 9738 10487 10820 13525 16230 19476 20974 24345 27050 31461 32460 40575 41948 48690 52435 54100 62922 81150 94383 97380 104870 121725 125844 157305 162300 188766 209740 243450 262175 314610 377532 471915 486900 524350 629220 786525 943830 1048700 1573050 1887660 2359575 3146100 4719150 5673467 9438300 11346934 17020401 22693868 28367335 34040802 51061203 56734670 68081604 85102005 102122406 113469340 141836675 170204010 204244812 255306015 283673350 340408020 425510025 510612030 567346700 851020050 1021224060 1276530075 1702040100 2553060150 5106120300