Search a number
-
+
202121101202220 = 223253134457804919
BaseRepresentation
bin101101111101001111111100…
…011100000101001100101100
3222111122120220001202101111100
4231331033330130011030230
5202443023003401432340
61553513052501323100
760400524211126224
oct5575177434051454
9874576801671440
10202121101202220
1159447094384832
121a80450ba06490
1388a1c26bbc555
1437ca9dbb8d084
151857978a44830
hexb7d3fc70532c

202121101202220 has 144 divisors (see below), whose sum is σ = 615198224571840. Its totient is φ = 53714637969408.

The previous prime is 202121101202159. The next prime is 202121101202249. The reversal of 202121101202220 is 22202101121202.

It is a happy number.

202121101202220 is a `hidden beast` number, since 2 + 0 + 212 + 110 + 120 + 2 + 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 = 202121101202193 and 202121101202202.

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, 250704921 + ... + 251509839.

It is an arithmetic number, because the mean of its divisors is an integer number (4272209892860).

Almost surely, 2202121101202220 is an apocalyptic number.

202121101202220 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 202121101202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307599112285920).

202121101202220 is an abundant number, since it is smaller than the sum of its proper divisors (413077123369620).

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

202121101202220 is a wasteful number, since it uses less digits than its factorization.

202121101202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809704 (or 809699 counting only the distinct ones).

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

Adding to 202121101202220 its reverse (22202101121202), we get a palindrome (224323202323422).

The spelling of 202121101202220 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4457 4695 5634 6260 8914 9390 11268 13371 14085 17828 18780 22285 26742 28170 40113 44570 53484 56340 66855 80226 89140 133710 160452 200565 267420 401130 802260 804919 1395041 1609838 2414757 2790082 3219676 4024595 4185123 4829514 5580164 6975205 7244271 8049190 8370246 9659028 12073785 12555369 13950410 14488542 16098380 16740492 20925615 24147570 25110738 27900820 28977084 36221355 41851230 48295140 50221476 62776845 72442710 83702460 125553690 144885420 251107380 251939647 503879294 755818941 1007758588 1259698235 1511637882 2267456823 2519396470 3023275764 3587523983 3779094705 4534913646 5038792940 7175047966 7558189410 9069827292 10762571949 11337284115 14350095932 15116378820 17937619915 21525143898 22674568230 32287715847 35875239830 43050287796 45349136460 53812859745 64575431694 71750479660 107625719490 129150863388 161438579235 215251438980 322877158470 645754316940 1122895006679 2245790013358 3368685020037 4491580026716 5614475033395 6737370040074 10106055060111 11228950066790 13474740080148 16843425100185 20212110120222 22457900133580 33686850200370 40424220240444 50530275300555 67373700400740 101060550601110 202121101202220