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201222012300 = 2235219310493313
BaseRepresentation
bin1011101101100111000…
…1000011110110001100
3201020101111201100020020
42323121301003312030
511244100313343200
6232235022022140
720352316612041
oct2733161036614
9636344640206
10201222012300
1178379642121
1232bb8a17950
1315c8a54c98a
149a4c5011c8
15537a8abea0
hex2ed9c43d8c

201222012300 has 144 divisors (see below), whose sum is σ = 585953642400. Its totient is φ = 53314191360.

The previous prime is 201222012259. The next prime is 201222012307. The reversal of 201222012300 is 3210222102.

It is a happy number.

It is a super-2 number, since 2×2012220123002 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201222012300.

It is not an unprimeable number, because it can be changed into a prime (201222012307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60735444 + ... + 60738756.

Almost surely, 2201222012300 is an apocalyptic number.

201222012300 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 201222012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292976821200).

201222012300 is an abundant number, since it is smaller than the sum of its proper divisors (384731630100).

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

201222012300 is a wasteful number, since it uses less digits than its factorization.

201222012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572 (or 4565 counting only the distinct ones).

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

Adding to 201222012300 its reverse (3210222102), we get a palindrome (204432234402).

The spelling of 201222012300 in words is "two hundred one billion, two hundred twenty-two million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 579 772 965 1049 1158 1930 2098 2316 2895 3147 3313 3860 4196 4825 5245 5790 6294 6626 9650 9939 10490 11580 12588 13252 14475 15735 16565 19300 19878 20980 26225 28950 31470 33130 39756 49695 52450 57900 62940 66260 78675 82825 99390 104900 157350 165650 198780 202457 248475 314700 331300 404914 496950 607371 639409 809828 993900 1012285 1214742 1278818 1918227 2024570 2429484 2557636 3036855 3197045 3475337 3836454 4049140 5061425 6073710 6394090 6950674 7672908 9591135 10122850 10426011 12147420 12788180 13901348 15184275 15985225 17376685 19182270 20245700 20852022 30368550 31970450 34753370 38364540 41704044 47955675 52130055 60737100 63940900 69506740 86883425 95911350 104260110 173766850 191822700 208520220 260650275 347533700 521300550 670740041 1042601100 1341480082 2012220123 2682960164 3353700205 4024440246 6707400410 8048880492 10061100615 13414800820 16768501025 20122201230 33537002050 40244402460 50305503075 67074004100 100611006150 201222012300