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301112130100 = 225229733474099
BaseRepresentation
bin1000110000110111010…
…11100111101000110100
31001210020000121002102211
410120123223213220310
514413134201130400
6350155021543204
730516560606215
oct4303353475064
91053200532384
10301112130100
11106778a47091
124a435a14b04
1322519368862
1410806b1b40c
157c7513ddba
hex461bae7a34

301112130100 has 144 divisors (see below), whose sum is σ = 687346632000. Its totient is φ = 114340101120.

The previous prime is 301112130083. The next prime is 301112130113. The reversal of 301112130100 is 1031211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73457851 + ... + 73461949.

It is an arithmetic number, because the mean of its divisors is an integer number (4773240500).

Almost surely, 2301112130100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301112130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343673316000).

301112130100 is an abundant number, since it is smaller than the sum of its proper divisors (386234501900).

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

301112130100 is a wasteful number, since it uses less digits than its factorization.

301112130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 301112130100 its reverse (1031211103), we get a palindrome (302143341203).

The spelling of 301112130100 in words is "three hundred one billion, one hundred twelve million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 73 100 116 145 146 290 292 347 365 580 694 725 730 1388 1450 1460 1735 1825 2117 2900 3470 3650 4099 4234 6940 7300 8198 8468 8675 10063 10585 16396 17350 20126 20495 21170 25331 34700 40252 40990 42340 50315 50662 52925 81980 100630 101324 102475 105850 118871 126655 201260 204950 211700 237742 251575 253310 299227 409900 475484 503150 506620 594355 598454 633275 734599 1006300 1188710 1196908 1266550 1422353 1469198 1496135 2377420 2533100 2844706 2938396 2971775 2992270 3672995 5689412 5943550 5984540 7111765 7345990 7480675 8677583 11887100 14223530 14691980 14961350 17355166 18364975 28447060 29922700 34710332 35558825 36729950 41248237 43387915 71117650 73459900 82496474 86775830 103831769 142235300 164992948 173551660 206241185 207663538 216939575 412482370 415327076 433879150 519158845 824964740 867758300 1031205925 1038317690 2062411850 2076635380 2595794225 3011121301 4124823700 5191588450 6022242602 10383176900 12044485204 15055606505 30111213010 60222426020 75278032525 150556065050 301112130100