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130822128 = 2434100943
BaseRepresentation
bin1111100110000…
…10111111110000
3100010011110020000
413303002333300
5231442302003
620551550000
73145653423
oct763027760
9303143200
10130822128
1167933668
123798b300
1321145a58
14135359ba
15b7421a3
hex7cc2ff0

130822128 has 50 divisors (see below), whose sum is σ = 378640944. Its totient is φ = 43606944.

The previous prime is 130822117. The next prime is 130822129. The reversal of 130822128 is 821228031.

It is a super-2 number, since 2×1308221282 = 34228858348896768, which contains 22 as substring.

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 (130822129) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49176 + ... + 51767.

Almost surely, 2130822128 is an apocalyptic number.

130822128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130822128 is an abundant number, since it is smaller than the sum of its proper divisors (247818816).

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

130822128 is a wasteful number, since it uses less digits than its factorization.

130822128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100963 (or 100948 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 130822128 is about 11437.7501284125. The cubic root of 130822128 is about 507.6453390751.

It can be divided in two parts, 1308 and 22128, that added together give a triangular number (23436 = T216).

The spelling of 130822128 in words is "one hundred thirty million, eight hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 100943 201886 302829 403772 605658 807544 908487 1211316 1615088 1816974 2422632 2725461 3633948 4845264 5450922 7267896 8176383 10901844 14535792 16352766 21803688 32705532 43607376 65411064 130822128