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201202231020 = 223572307222919
BaseRepresentation
bin1011101101100010010…
…1100110011011101100
3201020100010111100102020
42323120211212123230
511244030232343040
6232233034030140
720351656513500
oct2733045463354
9636303440366
10201202231020
117836946115a
1232bb2278350
1315c86414c8b
149a49a32300
155378ca0cd0
hex2ed89666ec

201202231020 has 144 divisors (see below), whose sum is σ = 657482031360. Its totient is φ = 45839074176.

The previous prime is 201202231003. The next prime is 201202231063. The reversal of 201202231020 is 20132202102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 791121 + ... + 1014039.

It is an arithmetic number, because the mean of its divisors is an integer number (4565847440).

Almost surely, 2201202231020 is an apocalyptic number.

201202231020 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 201202231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328741015680).

201202231020 is an abundant number, since it is smaller than the sum of its proper divisors (456279800340).

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

201202231020 is a wasteful number, since it uses less digits than its factorization.

201202231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223252 (or 223243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201202231020 its reverse (20132202102), we get a palindrome (221334433122).

The spelling of 201202231020 in words is "two hundred one billion, two hundred two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 307 420 490 588 614 735 921 980 1228 1470 1535 1842 2149 2940 3070 3684 4298 4605 6140 6447 8596 9210 10745 12894 15043 18420 21490 25788 30086 32235 42980 45129 60172 64470 75215 90258 128940 150430 180516 222919 225645 300860 445838 451290 668757 891676 902580 1114595 1337514 1560433 2229190 2675028 3120866 3343785 4458380 4681299 6241732 6687570 7802165 9362598 10923031 13375140 15604330 18725196 21846062 23406495 31208660 32769093 43692124 46812990 54615155 65538186 68436133 93625980 109230310 131076372 136872266 163845465 205308399 218460620 273744532 327690930 342180665 410616798 479052931 655381860 684361330 821233596 958105862 1026541995 1368722660 1437158793 1916211724 2053083990 2395264655 2874317586 3353370517 4106167980 4790529310 5748635172 6706741034 7185793965 9581058620 10060111551 13413482068 14371587930 16766852585 20120223102 28743175860 33533705170 40240446204 50300557755 67067410340 100601115510 201202231020