Search a number
-
+
1300211020220 = 225724733738369
BaseRepresentation
bin10010111010111010100…
…111011011000110111100
311121022001221102101112212
4102322322213123012330
5132300313010121340
62433150402315552
7162636304214600
oct22727247330674
94538057371485
101300211020220
11461464251872
1218bba6058bb8
13957bca3c788
1446d055d9500
1523c4c709a65
hex12eba9db1bc

1300211020220 has 144 divisors (see below), whose sum is σ = 3245158546560. Its totient is φ = 436120344576.

The previous prime is 1300211020219. The next prime is 1300211020231. The reversal of 1300211020220 is 220201120031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1300211020195 and 1300211020204.

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, 155356196 + ... + 155364564.

It is an arithmetic number, because the mean of its divisors is an integer number (22535823240).

Almost surely, 21300211020220 is an apocalyptic number.

1300211020220 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 1300211020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622579273280).

1300211020220 is an abundant number, since it is smaller than the sum of its proper divisors (1944947526340).

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

1300211020220 is a wasteful number, since it uses less digits than its factorization.

1300211020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1300211020220 its reverse (220201120031), we get a palindrome (1520412140251).

The spelling of 1300211020220 in words is "one trillion, three hundred billion, two hundred eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1316 1645 2303 3290 3373 4606 6580 6746 8369 9212 11515 13492 16738 16865 23030 23611 33476 33730 41845 46060 47222 58583 67460 83690 94444 117166 118055 158531 165277 167380 234332 236110 292915 317062 330554 393343 410081 472220 585830 634124 661108 786686 792655 820162 826385 1109717 1171660 1573372 1585310 1640324 1652770 1966715 2050405 2219434 2753401 3170620 3305540 3933430 4100810 4438868 5506802 5548585 7768019 7866860 8201620 11013604 11097170 13767005 15536038 19273807 22194340 27534010 28228637 31072076 38547614 38840095 55068020 56457274 77095228 77680190 96369035 112914548 141143185 155360380 192738070 197600459 282286370 385476140 395200918 564572740 790401836 988002295 1326745939 1383203213 1976004590 2653491878 2766406426 3952009180 5306983756 5532812852 6633729695 6916016065 9287221573 13267459390 13832032130 18574443146 26534918780 27664064260 37148886292 46436107865 65010551011 92872215730 130021102022 185744431460 260042204044 325052755055 650105510110 1300211020220