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100310334124 = 227211134383231
BaseRepresentation
bin101110101101011110…
…1100011101010101100
3100120220210120221122011
41131122331203222230
53120413421142444
6114025410331004
710150532525500
oct1353275435254
9316823527564
10100310334124
11395a5628790
1217535889a64
1395c7bb81c0
144bd8364300
1529215da734
hex175af63aac

100310334124 has 144 divisors (see below), whose sum is σ = 245485126656. Its totient is φ = 35236252800.

The previous prime is 100310334109. The next prime is 100310334143. The reversal of 100310334124 is 421433013001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100310334095 and 100310334104.

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, 1163589 + ... + 1246819.

It is an arithmetic number, because the mean of its divisors is an integer number (1704757824).

Almost surely, 2100310334124 is an apocalyptic number.

100310334124 is a gapful number since it is divisible by the number (14) 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 100310334124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122742563328).

100310334124 is an abundant number, since it is smaller than the sum of its proper divisors (145174792532).

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

100310334124 is a wasteful number, since it uses less digits than its factorization.

100310334124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83316 (or 83307 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 100310334124 its reverse (421433013001), we get a palindrome (521743347125).

It can be divided in two parts, 100310 and 334124, that added together give a palindrome (434434).

The spelling of 100310334124 in words is "one hundred billion, three hundred ten million, three hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 49 52 77 86 91 98 143 154 172 182 196 286 301 308 364 473 539 559 572 602 637 946 1001 1078 1118 1204 1274 1892 2002 2107 2156 2236 2548 3311 3913 4004 4214 6149 6622 7007 7826 8428 12298 13244 14014 15652 23177 24596 27391 28028 43043 46354 54782 83231 86086 92708 109564 166462 172172 301301 332924 582617 602602 915541 1082003 1165234 1205204 1831082 2164006 2330468 3578933 3662164 4078319 4328012 6408787 7157866 7574021 8156638 11902033 12817574 14315732 15148042 16313276 23804066 25052531 25635148 30296084 39368263 44861509 46526129 47608132 50105062 53018147 78736526 83314231 89723018 93052258 100210124 106036294 157473052 166628462 175367717 179446036 186104516 212072588 275577841 325682903 333256924 350735434 511787419 551155682 583199617 651365806 701470868 1023574838 1102311364 1166399234 1302731612 1929044887 2047149676 2279780321 2332798468 3582511933 3858089774 4559560642 7165023866 7716179548 9119121284 14330047732 25077583531 50155167062 100310334124