Search a number
-
+
10012032313020 = 22325237134061483
BaseRepresentation
bin1001000110110001101110…
…1000010010011010111100
31022110010210202011002022100
42101230123220102122330
52303014120233004040
633143244131145100
72052226331332143
oct221543350223274
938403722132270
1010012032313020
113210096255971
121158495445190
13578190bc4a7a
1426882915c75a
15125681447b30
hex91b1ba126bc

10012032313020 has 144 divisors (see below), whose sum is σ = 32136601416192. Its totient is φ = 2517824749440.

The previous prime is 10012032313001. The next prime is 10012032313069. The reversal of 10012032313020 is 2031323021001.

10012032313020 is a `hidden beast` number, since 10 + 0 + 120 + 3 + 231 + 302 + 0 = 666.

It is a super-2 number, since 2×100120323130202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10012032312984 and 10012032313002.

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, 16736802 + ... + 17324681.

It is an arithmetic number, because the mean of its divisors is an integer number (223170843168).

Almost surely, 210012032313020 is an apocalyptic number.

10012032313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012032313020 is an abundant number, since it is smaller than the sum of its proper divisors (22124569103172).

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

10012032313020 is a wasteful number, since it uses less digits than its factorization.

10012032313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34061592 (or 34061587 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10012032313020 its reverse (2031323021001), we get a palindrome (12043355334021).

The spelling of 10012032313020 in words is "ten trillion, twelve billion, thirty-two million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 71 90 92 115 138 142 180 207 213 230 276 284 345 355 414 426 460 639 690 710 828 852 1035 1065 1278 1380 1420 1633 2070 2130 2556 3195 3266 4140 4260 4899 6390 6532 8165 9798 12780 14697 16330 19596 24495 29394 32660 48990 58788 73485 97980 146970 293940 34061483 68122966 102184449 136245932 170307415 204368898 306553347 340614830 408737796 510922245 613106694 681229660 783414109 1021844490 1226213388 1532766735 1566828218 2043688980 2350242327 2418365293 3065533470 3133656436 3917070545 4700484654 4836730586 6131066940 7050726981 7255095879 7834141090 9400969308 9673461172 11751211635 12091826465 14101453962 14510191758 15668282180 21765287637 23502423270 24183652930 28202907924 29020383516 35253634905 36275479395 43530575274 47004846540 48367305860 55622401739 70507269810 72550958790 87061150548 108826438185 111244803478 141014539620 145101917580 166867205217 217652876370 222489606956 278112008695 333734410434 435305752740 500601615651 556224017390 667468820868 834336026085 1001203231302 1112448034780 1668672052170 2002406462604 2503008078255 3337344104340 5006016156510 10012032313020