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202120124220 = 223257374335481
BaseRepresentation
bin1011110000111101001…
…1000101011100111100
3201022201002200011011200
42330033103011130330
511302420222433340
6232504103415500
720413503465120
oct2741723053474
9638632604150
10202120124220
117879a5a4983
1233209754590
13160a1634b51
149ad58c9580
1553ce664330
hex2f0f4c573c

202120124220 has 144 divisors (see below), whose sum is σ = 719620644288. Its totient is φ = 44950256640.

The previous prime is 202120124191. The next prime is 202120124251. The reversal of 202120124220 is 22421021202.

202120124220 is a `hidden beast` number, since 20 + 21 + 201 + 2 + 422 + 0 = 666.

It is a super-2 number, since 2×2021201242202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 202120124193 and 202120124202.

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, 2121121 + ... + 2214360.

Almost surely, 2202120124220 is an apocalyptic number.

202120124220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120124220 is an abundant number, since it is smaller than the sum of its proper divisors (517500520068).

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

202120124220 is a wasteful number, since it uses less digits than its factorization.

202120124220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335540 (or 4335535 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202120124220 its reverse (22421021202), we get a palindrome (224541145422).

The spelling of 202120124220 in words is "two hundred two billion, one hundred twenty million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 4335481 8670962 13006443 17341924 21677405 26012886 30348367 39019329 43354810 52025772 60696734 65032215 78038658 86709620 91045101 121393468 130064430 151741835 156077316 160412797 182090202 195096645 260128860 273135303 303483670 320825594 364180404 390193290 455225505 481238391 546270606 606967340 641651188 780386580 802063985 910451010 962476782 1092541212 1122889579 1365676515 1443715173 1604127970 1820902020 1924953564 2245779158 2406191955 2731353030 2887430346 3208255940 3368668737 4491558316 4812383910 5462706060 5614447895 5774860692 6737337474 7218575865 9624767820 10106006211 11228895790 13474674948 14437151730 16843343685 20212012422 22457791580 28874303460 33686687370 40424024844 50530031055 67373374740 101060062110 202120124220