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130401114114100 = 225273172310367479
BaseRepresentation
bin11101101001100101100000…
…000101011100100000110100
3122002201020001211222111222211
4131221211200011130200310
5114042442440203122400
61141201240025303204
736316112112341524
oct3551454005344064
9562636054874884
10130401114114100
1138605890404a85
1212760739334b04
13579ba0697652b
14242b63a2d5684
151012073bb4dba
hex76996015c834

130401114114100 has 72 divisors (see below), whose sum is σ = 287013233380160. Its totient is φ = 51416055694080.

The previous prime is 130401114114097. The next prime is 130401114114119. The reversal of 130401114114100 is 1411411104031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7394161 + ... + 17761639.

Almost surely, 2130401114114100 is an apocalyptic number.

130401114114100 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 130401114114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143506616690080).

130401114114100 is an abundant number, since it is smaller than the sum of its proper divisors (156612119266060).

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

130401114114100 is a wasteful number, since it uses less digits than its factorization.

130401114114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369289 (or 10369282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 130401114114100 its reverse (1411411104031), we get a palindrome (131812525218131).

The spelling of 130401114114100 in words is "one hundred thirty trillion, four hundred one billion, one hundred fourteen million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1723 1825 3446 3650 6892 7300 8615 17230 34460 43075 86150 125779 172300 251558 503116 628895 1257790 2515580 3144475 6288950 10367479 12577900 20734958 41469916 51837395 103674790 207349580 259186975 518373950 756825967 1036747900 1513651934 3027303868 3784129835 7568259670 15136519340 17863166317 18920649175 35726332634 37841298350 71452665268 75682596700 89315831585 178631663170 357263326340 446579157925 893158315850 1304011141141 1786316631700 2608022282282 5216044564564 6520055705705 13040111411410 26080222822820 32600278528525 65200557057050 130401114114100