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302030000200 = 235217192246073
BaseRepresentation
bin1000110010100100110…
…01000001000001001000
31001212120222201201111201
410121102121001001020
514422024140001300
6350430051033544
730551404433305
oct4312231010110
91055528651451
10302030000200
111070aa074515
124a65129b8b4
132263457b066
14108929aa0ac
157cca9ea66a
hex4652641048

302030000200 has 144 divisors (see below), whose sum is σ = 784722603780. Its totient is φ = 107720478720.

The previous prime is 302030000189. The next prime is 302030000213. The reversal of 302030000200 is 2000030203.

It can be written as a sum of positive squares in 6 ways, for example, as 137354736996 + 164675263204 = 370614^2 + 405802^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104364 + ... + 1350436.

Almost surely, 2302030000200 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 302030000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392361301890).

302030000200 is an abundant number, since it is smaller than the sum of its proper divisors (482692603580).

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

302030000200 is a wasteful number, since it uses less digits than its factorization.

302030000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246144 (or 246116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 302030000200 its reverse (2000030203), we get a palindrome (304030030403).

The spelling of 302030000200 in words is "three hundred two billion, thirty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 136 152 170 190 200 323 340 361 380 425 475 646 680 722 760 850 950 1292 1444 1615 1700 1805 1900 2584 2888 3230 3400 3610 3800 6137 6460 7220 8075 9025 12274 12920 14440 16150 18050 24548 30685 32300 36100 49096 61370 64600 72200 122740 153425 245480 246073 306850 492146 613700 984292 1227400 1230365 1968584 2460730 4183241 4675387 4921460 6151825 8366482 9350774 9842920 12303650 16732964 18701548 20916205 23376935 24607300 33465928 37403096 41832410 46753870 49214600 79481579 83664820 88832353 93507740 104581025 116884675 158963158 167329640 177664706 187015480 209162050 233769350 317926316 355329412 397407895 418324100 444161765 467538700 635852632 710658824 794815790 836648200 888323530 935077400 1510150001 1589631580 1776647060 1987039475 2220808825 3020300002 3179263160 3553294120 3974078950 4441617650 6040600004 7550750005 7948157900 8883235300 12081200008 15101500010 15896315800 17766470600 30203000020 37753750025 60406000040 75507500050 151015000100 302030000200