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1300011222300 = 2235273023204781
BaseRepresentation
bin10010111010101110101…
…101010000010100011100
311121021120000110121022220
4102322232231100110130
5132244410333103200
62433114504105340
7162631330031430
oct22725655202434
94537500417286
101300011222300
1146137149771a
1218bb4b165250
139578a52645b
1446cc6c6a9c0
1523c39de04a0
hex12eaeb5051c

1300011222300 has 144 divisors (see below), whose sum is σ = 4300146772992. Its totient is φ = 297045676800.

The previous prime is 1300011222287. The next prime is 1300011222343. The reversal of 1300011222300 is 32221100031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1300011222300.

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, 6245910 + ... + 6450690.

It is an arithmetic number, because the mean of its divisors is an integer number (29862130368).

Almost surely, 21300011222300 is an apocalyptic number.

1300011222300 is a gapful number since it is divisible by the number (10) 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 1300011222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150073386496).

1300011222300 is an abundant number, since it is smaller than the sum of its proper divisors (3000135550692).

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

1300011222300 is a wasteful number, since it uses less digits than its factorization.

1300011222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207828 (or 207821 counting only the distinct ones).

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

Adding to 1300011222300 its reverse (32221100031), we get a palindrome (1332232322331).

The spelling of 1300011222300 in words is "one trillion, three hundred billion, eleven million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3023 6046 9069 12092 15115 18138 21161 30230 36276 42322 45345 60460 63483 75575 84644 90690 105805 126966 151150 181380 204781 211610 226725 253932 302300 317415 409562 423220 453450 529025 614343 634830 819124 906900 1023905 1058050 1228686 1269660 1433467 1587075 2047810 2116100 2457372 2866934 3071715 3174150 4095620 4300401 5119525 5733868 6143430 6348300 7167335 8600802 10239050 12286860 14334670 15358575 17201604 20478100 21502005 28669340 30717150 35836675 43004010 61434300 71673350 86008020 107510025 143346700 215020050 430040100 619052963 1238105926 1857158889 2476211852 3095264815 3714317778 4333370741 6190529630 7428635556 8666741482 9285794445 12381059260 13000112223 15476324075 17333482964 18571588890 21666853705 26000224446 30952648150 37143177780 43333707410 46428972225 52000448892 61905296300 65000561115 86667414820 92857944450 108334268525 130001122230 185715888900 216668537050 260002244460 325002805575 433337074100 650005611150 1300011222300