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130553244320 = 2556113376357
BaseRepresentation
bin111100110010110010…
…1000110101010100000
3110110222110221222011012
41321211211012222200
54114333112304240
6135550401040052
712301142160362
oct1714545065240
9413873858135
10130553244320
11504049a2844
1221376026028
13c4076ac935
146466b60d32
1535e16e7b65
hex1e65946aa0

130553244320 has 48 divisors (see below), whose sum is σ = 313488326088. Its totient is φ = 51365207040.

The previous prime is 130553244317. The next prime is 130553244347. The reversal of 130553244320 is 23442355031.

It can be written as a sum of positive squares in 4 ways, for example, as 92433024784 + 38120219536 = 304028^2 + 195244^2 .

It is a super-2 number, since 2×1305532443202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6678419 + ... + 6697938.

Almost surely, 2130553244320 is an apocalyptic number.

130553244320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130553244320 is an abundant number, since it is smaller than the sum of its proper divisors (182935081768).

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

130553244320 is a wasteful number, since it uses less digits than its factorization.

130553244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13376433 (or 13376425 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 130553244320 its reverse (23442355031), we get a palindrome (153995599351).

The spelling of 130553244320 in words is "one hundred thirty billion, five hundred fifty-three million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 13376357 26752714 53505428 66881785 107010856 133763570 214021712 267527140 428043424 535054280 815957777 1070108560 1631915554 2140217120 3263831108 4079788885 6527662216 8159577770 13055324432 16319155540 26110648864 32638311080 65276622160 130553244320