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32030103001000 = 2353137573254761
BaseRepresentation
bin1110100100001100101101…
…11010010101011110101000
311012102001021221122111122011
413102012112322111132220
513144240122332013000
6152042232020005304
76514045545234466
oct722062672253650
9135361257574564
1032030103001000
11a229988137065
123713794830834
1314b456c4c0140
147ca39dc17836
153a829a9792ba
hex1d2196e957a8

32030103001000 has 128 divisors (see below), whose sum is σ = 80822510364960. Its totient is φ = 11810873088000.

The previous prime is 32030103000989. The next prime is 32030103001003. The reversal of 32030103001000 is 10030103023.

It can be written as a sum of positive squares in 16 ways, for example, as 11510996841796 + 20519106159204 = 3392786^2 + 4529802^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (32030103001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8213620 + ... + 11468380.

Almost surely, 232030103001000 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 32030103001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40411255182480).

32030103001000 is an abundant number, since it is smaller than the sum of its proper divisors (48792407363960).

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

32030103001000 is a wasteful number, since it uses less digits than its factorization.

32030103001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255552 (or 3255538 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 32030103001000 its reverse (10030103023), we get a palindrome (32040133104023).

The spelling of 32030103001000 in words is "thirty-two trillion, thirty billion, one hundred three million, one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 757 1000 1300 1514 1625 2600 3028 3250 3785 6056 6500 7570 9841 13000 15140 18925 19682 30280 37850 39364 49205 75700 78728 94625 98410 151400 189250 196820 246025 378500 393640 492050 757000 984100 1230125 1968200 2460250 3254761 4920500 6509522 9841000 13019044 16273805 26038088 32547610 42311893 65095220 81369025 84623786 130190440 162738050 169247572 211559465 325476100 338495144 406845125 423118930 650952200 813690250 846237860 1057797325 1627380500 1692475720 2115594650 2463854077 3254761000 4231189300 4927708154 5288986625 8462378600 9855416308 10577973250 12319270385 19710832616 21155946500 24638540770 32030103001 42311893000 49277081540 61596351925 64060206002 98554163080 123192703850 128120412004 160150515005 246385407700 256240824008 307981759625 320301030010 492770815400 615963519250 640602060020 800752575025 1231927038500 1281204120040 1601505150050 2463854077000 3203010300100 4003762875125 6406020600200 8007525750250 16015051500500 32030103001000