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202121132220 = 22345717823733
BaseRepresentation
bin1011110000111101011…
…0111011100010111100
3201022201011120100220000
42330033112323202330
511302421002212340
6232504141154300
720413515163650
oct2741726734274
9638634510800
10202121132220
11787a0123237
1233209b5b990
13160a18c88b7
149ad5aaca60
1553ce7b2d30
hex2f0f5bb8bc

202121132220 has 120 divisors (see below), whose sum is σ = 724641729504. Its totient is φ = 46199113344.

The previous prime is 202121132201. The next prime is 202121132231. The reversal of 202121132220 is 22231121202.

202121132220 is a `hidden beast` number, since 202 + 1 + 211 + 32 + 220 = 666.

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 = 202121132193 and 202121132202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8900527 + ... + 8923206.

Almost surely, 2202121132220 is an apocalyptic number.

202121132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121132220 is an abundant number, since it is smaller than the sum of its proper divisors (522520597284).

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

202121132220 is a wasteful number, since it uses less digits than its factorization.

202121132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17823761 (or 17823750 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202121132220 its reverse (22231121202), we get a palindrome (224352253422).

The spelling of 202121132220 in words is "two hundred two billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 17823733 35647466 53471199 71294932 89118665 106942398 124766131 160413597 178237330 213884796 249532262 267355995 320827194 356474660 374298393 481240791 499064524 534711990 623830655 641654388 748596786 802067985 962481582 1069423980 1122895179 1247661310 1443722373 1497193572 1604135970 1871491965 1924963164 2245790358 2406203955 2495322620 2887444746 3208271940 3368685537 3742983930 4491580716 4812407910 5614475895 5774889492 6737371074 7218611865 7485967860 9624815820 10106056611 11228951790 13474742148 14437223730 16843427685 20212113222 22457903580 28874447460 33686855370 40424226444 50530283055 67373710740 101060566110 202121132220