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130203020032 = 281959453707
BaseRepresentation
bin111100101000010110…
…1000110101100000000
3110110002001221201202021
41321100231012230000
54113123433120112
6135451530331224
712256360260331
oct1712055065400
9413061851667
10130203020032
1150245235088
1221298889b14
13c37cc78627
146432436288
1535c0ab7907
hex1e50b46b00

130203020032 has 72 divisors (see below), whose sum is σ = 278213745600. Its totient is φ = 60629640192.

The previous prime is 130203020023. The next prime is 130203020041. The reversal of 130203020032 is 230020302031.

It is an interprime number because it is at equal distance from previous prime (130203020023) and next prime (130203020041).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130203019988 and 130203020015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60123 + ... + 513829.

It is an arithmetic number, because the mean of its divisors is an integer number (3864079800).

Almost surely, 2130203020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130203020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139106872800).

130203020032 is an abundant number, since it is smaller than the sum of its proper divisors (148010725568).

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

130203020032 is an equidigital number, since it uses as much as digits as its factorization.

130203020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453801 (or 453787 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 130203020032 its reverse (230020302031), we get a palindrome (360223322063).

The spelling of 130203020032 in words is "one hundred thirty billion, two hundred three million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 472 608 944 1121 1216 1888 2242 2432 3776 4484 4864 7552 8968 15104 17936 35872 71744 143488 286976 453707 907414 1814828 3629656 7259312 8620433 14518624 17240866 26768713 29037248 34481732 53537426 58074496 68963464 107074852 116148992 137926928 214149704 275853856 428299408 508605547 551707712 856598816 1017211094 1103415424 1713197632 2034422188 2206830848 3426395264 4068844376 6852790528 8137688752 16275377504 32550755008 65101510016 130203020032