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30129263100 = 22325233476959
BaseRepresentation
bin11100000011110110…
…000001000111111100
32212202202112011000100
4130003312001013330
5443201042404400
621501410401100
72114426340126
oct340366010774
985682464010
1030129263100
1111861202342
125a0a290190
132ac20b3341
14165b696216
15bb515e100
hex703d811fc

30129263100 has 54 divisors (see below), whose sum is σ = 94438504160. Its totient is φ = 8034469920.

The previous prime is 30129263071. The next prime is 30129263107. The reversal of 30129263100 is 136292103.

30129263100 is a `hidden beast` number, since 3 + 0 + 1 + 29 + 2 + 631 + 0 + 0 = 666.

It is a super-2 number, since 2×301292631002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30129263107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16737580 + ... + 16739379.

Almost surely, 230129263100 is an apocalyptic number.

30129263100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30129263100 is an abundant number, since it is smaller than the sum of its proper divisors (64309241060).

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

30129263100 is a wasteful number, since it uses less digits than its factorization.

30129263100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33476979 (or 33476969 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 30129263100 in words is "thirty billion, one hundred twenty-nine million, two hundred sixty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 33476959 66953918 100430877 133907836 167384795 200861754 301292631 334769590 401723508 502154385 602585262 669539180 836923975 1004308770 1205170524 1506463155 1673847950 2008617540 2510771925 3012926310 3347695900 5021543850 6025852620 7532315775 10043087700 15064631550 30129263100