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130033233320 = 235232813131607
BaseRepresentation
bin111100100011010010…
…1011010110110101000
3110102122020110200011112
41321012211122312220
54112302001431240
6135423023245452
712252226150334
oct1710645326650
9412566420145
10130033233320
1150168408891
122124ba49888
13c353a3c413
146417a7a7c4
1535b0c2a665
hex1e4695ada8

130033233320 has 128 divisors (see below), whose sum is σ = 307551997440. Its totient is φ = 49385656320.

The previous prime is 130033233271. The next prime is 130033233347. The reversal of 130033233320 is 23332330031.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80915957 + ... + 80917563.

It is an arithmetic number, because the mean of its divisors is an integer number (2402749980).

Almost surely, 2130033233320 is an apocalyptic number.

130033233320 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 130033233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153775998720).

130033233320 is an abundant number, since it is smaller than the sum of its proper divisors (177518764120).

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

130033233320 is a wasteful number, since it uses less digits than its factorization.

130033233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 130033233320 its reverse (23332330031), we get a palindrome (153365563351).

The spelling of 130033233320 in words is "one hundred thirty billion, thirty-three million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 281 313 460 562 626 920 1124 1252 1405 1565 1607 2248 2504 2810 3130 3214 5620 6260 6428 6463 7199 8035 11240 12520 12856 12926 14398 16070 25852 28796 32140 32315 35995 36961 51704 57592 64280 64630 71990 73922 87953 129260 143980 147844 175906 184805 258520 287960 295688 351812 369610 439765 451567 502991 703624 739220 879530 903134 1005982 1478440 1759060 1806268 2011964 2022919 2257835 2514955 3518120 3612536 4023928 4045838 4515670 5029910 8091676 9031340 10059820 10114595 10386041 11568793 16183352 18062680 20119640 20229190 20772082 23137586 40458380 41544164 46275172 51930205 57843965 80916760 83088328 92550344 103860410 115687930 141340471 207720820 231375860 282680942 415441640 462751720 565361884 706702355 1130723768 1413404710 2826809420 3250830833 5653618840 6501661666 13003323332 16254154165 26006646664 32508308330 65016616660 130033233320