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3130434200712 = 2337136599217207
BaseRepresentation
bin101101100011011100011…
…010110010010010001000
3102002021012100020012110210
4231203130122302102020
5402242112123410322
610354033541041120
7442111035445530
oct55433432622210
912067170205423
103130434200712
11aa7678550275
124268480b61a0
1319927765c020
14ab729d0a4c0
155666a77470c
hex2d8dc6b2488

3130434200712 has 128 divisors (see below), whose sum is σ = 9633609216000. Its totient is φ = 825480108288.

The previous prime is 3130434200683. The next prime is 3130434200723. The reversal of 3130434200712 is 2170024340313.

It is a self number, because there is not a number n which added to its sum of digits gives 3130434200712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14303613 + ... + 14520819.

It is an arithmetic number, because the mean of its divisors is an integer number (75262572000).

Almost surely, 23130434200712 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 3130434200712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816804608000).

3130434200712 is an abundant number, since it is smaller than the sum of its proper divisors (6503175015288).

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

3130434200712 is a wasteful number, since it uses less digits than its factorization.

3130434200712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223835 (or 223831 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 3130434200712 in words is "three trillion, one hundred thirty billion, four hundred thirty-four million, two hundred thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6599 13198 19797 26396 39594 46193 52792 79188 85787 92386 138579 158376 171574 184772 217207 257361 277158 343148 369544 434414 514722 554316 600509 651621 686296 868828 1029444 1108632 1201018 1303242 1520449 1737656 1801527 2058888 2402036 2606484 2823691 3040898 3603054 4561347 4804072 5212968 5647382 6081796 7206108 8471073 9122694 11294764 12163592 14412216 16942146 18245388 19765837 22589528 33884292 36490776 39531674 59297511 67768584 79063348 118595022 158126696 237190044 474380088 1433348993 2866697986 4300046979 5733395972 8600093958 10033442951 11466791944 17200187916 18633536909 20066885902 30100328853 34400375832 37267073818 40133771804 55900610727 60200657706 74534147636 80267543608 111801221454 120401315412 130434758363 149068295272 223602442908 240802630824 260869516726 391304275089 447204885816 521739033452 782608550178 1043478066904 1565217100356 3130434200712