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130384772112 = 243715122711321
BaseRepresentation
bin111100101101110001…
…0011011110000010000
3110110112201221200201210
41321123202123300100
54114012000201422
6135521542100120
712264025163640
oct1713342336020
9413481850653
10130384772112
1150328894111
122132971a640
13c3ab813b3a
14644c628520
1535d1a1a10c
hex1e5b89bc10

130384772112 has 160 divisors (see below), whose sum is σ = 389236230144. Its totient is φ = 36839808000.

The previous prime is 130384772081. The next prime is 130384772131. The reversal of 130384772112 is 211277483031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11511412 + ... + 11522732.

Almost surely, 2130384772112 is an apocalyptic number.

130384772112 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 130384772112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194618115072).

130384772112 is an abundant number, since it is smaller than the sum of its proper divisors (258851458032).

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

130384772112 is a wasteful number, since it uses less digits than its factorization.

130384772112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

It can be divided in two parts, 130384 and 772112, that added together give a triangular number (902496 = T1343).

The spelling of 130384772112 in words is "one hundred thirty billion, three hundred eighty-four million, seven hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 227 302 336 453 454 604 681 906 908 1057 1208 1362 1589 1812 1816 2114 2416 2724 3171 3178 3624 3632 4228 4767 5448 6342 6356 7248 8456 9534 10896 11321 12684 12712 16912 19068 22642 25368 25424 33963 34277 38136 45284 50736 67926 68554 76272 79247 90568 102831 135852 137108 158494 181136 205662 237741 239939 271704 274216 316988 411324 475482 479878 543408 548432 633976 719817 822648 950964 959756 1267952 1439634 1645296 1709471 1901928 1919512 2569867 2879268 3418942 3803856 3839024 5128413 5139734 5758536 6837884 7709601 10256826 10279468 11517072 11966297 13675768 15419202 17989069 20513652 20558936 23932594 27351536 30838404 35898891 35978138 41027304 41117872 47865188 53967207 61676808 71797782 71956276 82054608 95730376 107934414 123353616 143595564 143912552 191460752 215868828 287191128 287825104 388049917 431737656 574382256 776099834 863475312 1164149751 1552199668 2328299502 2716349419 3104399336 4656599004 5432698838 6208798672 8149048257 9313198008 10865397676 16298096514 18626396016 21730795352 32596193028 43461590704 65192386056 130384772112