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130223033112 = 233199714919759
BaseRepresentation
bin111100101000111100…
…1011100101100011000
3110110010110121111112110
41321101321130230120
54113144044024422
6135453523312320
712260022342444
oct1712171345430
9413113544473
10130223033112
1150255564217
12212a351b6a0
13c3841649a3
146434d65824
1535c271c60c
hex1e51e5cb18

130223033112 has 128 divisors (see below), whose sum is σ = 348566400000. Its totient is φ = 40423919616.

The previous prime is 130223033107. The next prime is 130223033141. The reversal of 130223033112 is 211330322031.

It is a congruent number.

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, 6580689 + ... + 6600447.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175000).

Almost surely, 2130223033112 is an apocalyptic number.

130223033112 is a gapful number since it is divisible by the number (12) 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 130223033112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174283200000).

130223033112 is an abundant number, since it is smaller than the sum of its proper divisors (218343366888).

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

130223033112 is a wasteful number, since it uses less digits than its factorization.

130223033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20033 (or 20029 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130223033112 its reverse (211330322031), we get a palindrome (341553355143).

The spelling of 130223033112 in words is "one hundred thirty billion, two hundred twenty-three million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 149 152 194 228 291 298 388 447 456 582 596 776 894 1164 1192 1788 1843 2328 2831 3576 3686 5529 5662 7372 8493 11058 11324 14453 14744 16986 19759 22116 22648 28906 33972 39518 43359 44232 57812 59277 67944 79036 86718 115624 118554 158072 173436 237108 274607 346872 375421 474216 549214 750842 823821 1098428 1126263 1501684 1647642 1916623 2196856 2252526 2944091 3003368 3295284 3833246 4505052 5749869 5888182 6590568 7666492 8832273 9010104 11499738 11776364 15332984 17664546 22999476 23552728 35329092 36415837 45998952 55937729 70658184 72831674 109247511 111875458 145663348 167813187 218495022 223750916 285576827 291326696 335626374 436990044 447501832 571153654 671252748 856730481 873980088 1142307308 1342505496 1713460962 2284614616 3426921924 5425959713 6853843848 10851919426 16277879139 21703838852 32555758278 43407677704 65111516556 130223033112