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130033031120 = 2455934779393
BaseRepresentation
bin111100100011010010…
…0101001011111010000
3110102122020002101210122
41321012210221133100
54112301423443440
6135423015045412
712252224345666
oct1710644513720
9412566071718
10130033031120
115016828a983
122124b970868
13c35399b385
146417a26c36
1535b0bda7b5
hex1e469297d0

130033031120 has 80 divisors (see below), whose sum is σ = 308340889920. Its totient is φ = 50983636992.

The previous prime is 130033031069. The next prime is 130033031123. The reversal of 130033031120 is 21130330031.

130033031120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130033031123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598144 + ... + 1677536.

It is an arithmetic number, because the mean of its divisors is an integer number (3854261124).

Almost surely, 2130033031120 is an apocalyptic number.

130033031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130033031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154170444960).

130033031120 is an abundant number, since it is smaller than the sum of its proper divisors (178307858800).

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

130033031120 is a wasteful number, since it uses less digits than its factorization.

130033031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79812 (or 79806 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 130033031120 its reverse (21130330031), we get a palindrome (151163361151).

The spelling of 130033031120 in words is "one hundred thirty billion, thirty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 347 472 590 694 944 1180 1388 1735 2360 2776 3470 4720 5552 6940 13880 20473 27760 40946 79393 81892 102365 158786 163784 204730 317572 327568 396965 409460 635144 793930 818920 1270288 1587860 1637840 3175720 4684187 6351440 9368374 18736748 23420935 27549371 37473496 46841870 55098742 74946992 93683740 110197484 137746855 187367480 220394968 275493710 374734960 440789936 550987420 1101974840 1625412889 2203949680 3250825778 6501651556 8127064445 13003303112 16254128890 26006606224 32508257780 65016515560 130033031120