Search a number
-
+
211210032320300 = 225213374793426829
BaseRepresentation
bin110000000001100000101010…
…111100110000111100101100
31000200211111000022011002121202
4300001200222330300330230
5210140431121233222200
62025112314354345032
762326264332001316
oct6001405274607454
91020744008132552
10211210032320300
1161330743013162
121b831b0458b178
1390b10362c76b0
143a228978147b6
1519640ce8121d5
hexc0182af30f2c

211210032320300 has 144 divisors (see below), whose sum is σ = 517707214200960. Its totient is φ = 74263117040640.

The previous prime is 211210032320257. The next prime is 211210032320327. The reversal of 211210032320300 is 3023230012112.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 44452715 + ... + 48974114.

Almost surely, 2211210032320300 is an apocalyptic number.

211210032320300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210032320300 is an abundant number, since it is smaller than the sum of its proper divisors (306497181880660).

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

211210032320300 is a wasteful number, since it uses less digits than its factorization.

211210032320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93426940 (or 93426933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211210032320300 its reverse (3023230012112), we get a palindrome (214233262332412).

The spelling of 211210032320300 in words is "two hundred eleven trillion, two hundred ten billion, thirty-two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 47 50 52 65 74 94 100 130 148 185 188 235 260 325 370 470 481 611 650 740 925 940 962 1175 1222 1300 1739 1850 1924 2350 2405 2444 3055 3478 3700 4700 4810 6110 6956 8695 9620 12025 12220 15275 17390 22607 24050 30550 34780 43475 45214 48100 61100 86950 90428 113035 173900 226070 452140 565175 1130350 2260700 93426829 186853658 373707316 467134145 934268290 1214548777 1868536580 2335670725 2429097554 3456792673 4391060963 4671341450 4858195108 6072743885 6913585346 8782121926 9342682900 12145487770 13827170692 17283963365 17564243852 21955304815 24290975540 30363719425 34567926730 43910609630 44938304749 57083792519 60727438850 69135853460 86419816825 87821219260 89876609498 109776524075 114167585038 121454877700 162469255631 172839633650 179753218996 219553048150 224691523745 228335170076 285418962595 324938511262 345679267300 439106096300 449383047490 570837925190 649877022524 812346278155 898766094980 1123457618725 1141675850380 1427094812975 1624692556310 2112100323203 2246915237450 2854189625950 3249385112620 4061731390775 4224200646406 4493830474900 5708379251900 8123462781550 8448401292812 10560501616015 16246925563100 21121003232030 42242006464060 52802508080075 105605016160150 211210032320300