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202012020180 = 223253173948989
BaseRepresentation
bin1011110000100011011…
…0101100110111010100
3201022102120020220022100
42330020312230313110
511302210034121210
6232445242402100
720411021561025
oct2741066546724
9638376226270
10202012020180
11787445787a3
1233199500330
1316085114769
149ac53c8c4c
1553c4e0d5c0
hex2f08dacdd4

202012020180 has 144 divisors (see below), whose sum is σ = 633405427200. Its totient is φ = 52060527360.

The previous prime is 202012020179. The next prime is 202012020227. The reversal of 202012020180 is 81020210202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4099126 + ... + 4148114.

It is an arithmetic number, because the mean of its divisors is an integer number (4398648800).

Almost surely, 2202012020180 is an apocalyptic number.

202012020180 is a gapful number since it is divisible by the number (20) 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 202012020180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316702713600).

202012020180 is an abundant number, since it is smaller than the sum of its proper divisors (431393407020).

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

202012020180 is a wasteful number, since it uses less digits than its factorization.

202012020180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49774 (or 49769 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202012020180 its reverse (81020210202), we get a palindrome (283032230382).

The spelling of 202012020180 in words is "two hundred two billion, twelve million, twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 739 930 1116 1395 1478 1860 2217 2790 2956 3695 4434 5580 6651 7390 8868 11085 13302 14780 22170 22909 26604 33255 44340 45818 48989 66510 68727 91636 97978 114545 133020 137454 146967 195956 206181 229090 244945 274908 293934 343635 412362 440901 458180 489890 587868 687270 734835 824724 881802 979780 1030905 1374540 1469670 1518659 1763604 2061810 2204505 2939340 3037318 4123620 4409010 4555977 6074636 7593295 8818020 9111954 13667931 15186590 18223908 22779885 27335862 30373180 36202871 45559770 54671724 68339655 72405742 91119540 108608613 136679310 144811484 181014355 217217226 273358620 325825839 362028710 434434452 543043065 651651678 724057420 1086086130 1122289001 1303303356 1629129195 2172172260 2244578002 3258258390 3366867003 4489156004 5611445005 6516516780 6733734006 10100601009 11222890010 13467468012 16834335015 20201202018 22445780020 33668670030 40402404036 50503005045 67337340060 101006010090 202012020180