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201130020312 = 233131076838821
BaseRepresentation
bin1011101101010001001…
…0001000110111011000
3201020011002121122221120
42323110102020313120
511243403241122222
6232221534205240
720350121651604
oct2732422106730
9636132548846
10201130020312
1178331720191
1232b92053820
1315c74481150
149a401d6504
15537278a15c
hex2ed4488dd8

201130020312 has 128 divisors (see below), whose sum is σ = 547426978560. Its totient is φ = 61211082240.

The previous prime is 201130020283. The next prime is 201130020313. The reversal of 201130020312 is 213020031102.

It is a junction number, because it is equal to n+sod(n) for n = 201130020291 and 201130020300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201130020313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22796862 + ... + 22805682.

It is an arithmetic number, because the mean of its divisors is an integer number (4276773270).

Almost surely, 2201130020312 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 201130020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273713489280).

201130020312 is an abundant number, since it is smaller than the sum of its proper divisors (346296958248).

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

201130020312 is a wasteful number, since it uses less digits than its factorization.

201130020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201130020312 its reverse (213020031102), we get a palindrome (414150051414).

The spelling of 201130020312 in words is "two hundred one billion, one hundred thirty million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 683 856 1284 1366 1391 2049 2568 2732 2782 4098 4173 5464 5564 8196 8346 8821 8879 11128 16392 16692 17642 17758 26463 26637 33384 35284 35516 52926 53274 70568 71032 73081 105852 106548 114673 146162 211704 213096 219243 229346 292324 344019 438486 458692 584648 688038 876972 917384 943847 950053 1376076 1753944 1887694 1900106 2752152 2831541 2850159 3775388 3800212 5663082 5700318 6024743 7550776 7600424 11326164 11400636 12049486 12270011 18074229 22652328 22801272 24098972 24540022 36148458 36810033 48197944 49080044 72296916 73620066 78321659 98160088 144593832 147240132 156643318 234964977 294480264 313286636 469929954 626573272 644647501 939859908 1289295002 1879719816 1933942503 2578590004 3867885006 5157180008 7735770012 8380417513 15471540024 16760835026 25141252539 33521670052 50282505078 67043340104 100565010156 201130020312