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130011022144 = 2619829128971
BaseRepresentation
bin111100100010101000…
…0101100001101000000
3110102120200200020011101
41321011100230031000
54112230310202034
6135420511224144
712251536311613
oct1710520541500
9412520606141
10130011022144
1150156918243
1221244518054
13c34c263703
146414b3817a
1535adcde514
hex1e4542c340

130011022144 has 56 divisors (see below), whose sum is σ = 271898770400. Its totient is φ = 61509404160.

The previous prime is 130011022129. The next prime is 130011022159. The reversal of 130011022144 is 441220110031.

It is an interprime number because it is at equal distance from previous prime (130011022129) and next prime (130011022159).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 943579 + ... + 1072549.

Almost surely, 2130011022144 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 130011022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135949385200).

130011022144 is an abundant number, since it is smaller than the sum of its proper divisors (141887748256).

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

130011022144 is a wasteful number, since it uses less digits than its factorization.

130011022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129831 (or 129821 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 130011022144 its reverse (441220110031), we get a palindrome (571231132175).

The spelling of 130011022144 in words is "one hundred thirty billion, eleven million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 829 1216 1658 3316 6632 13264 15751 26528 31502 53056 63004 126008 128971 252016 257942 504032 515884 1008064 1031768 2063536 2450449 4127072 4900898 8254144 9801796 19603592 39207184 78414368 106916959 156828736 213833918 427667836 855335672 1710671344 2031422221 3421342688 4062844442 6842685376 8125688884 16251377768 32502755536 65005511072 130011022144