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201301201220 = 225722335924877
BaseRepresentation
bin1011101101111001111…
…1001001000101000100
3201020121000201120000012
42323132133021011010
511244231101414340
6232250531205352
720354300656400
oct2733637110504
9636530646005
10201301201220
117840a309a09
123301b446858
1315ca0a87b22
149a58c36100
155382800565
hex2ede7c9144

201301201220 has 144 divisors (see below), whose sum is σ = 514580532480. Its totient is φ = 65830254336.

The previous prime is 201301201217. The next prime is 201301201223. The reversal of 201301201220 is 22102103102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201301201217) and next prime (201301201223).

It is a super-2 number, since 2×2013012012202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201301201195 and 201301201204.

It is not an unprimeable number, because it can be changed into a prime (201301201223) 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, 8079422 + ... + 8104298.

It is an arithmetic number, because the mean of its divisors is an integer number (3573475920).

Almost surely, 2201301201220 is an apocalyptic number.

201301201220 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 201301201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257290266240).

201301201220 is an abundant number, since it is smaller than the sum of its proper divisors (313279331260).

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

201301201220 is a wasteful number, since it uses less digits than its factorization.

201301201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25282 (or 25273 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201301201220 its reverse (22102103102), we get a palindrome (223403304322).

The spelling of 201301201220 in words is "two hundred one billion, three hundred one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 359 460 490 644 718 805 980 1127 1436 1610 1795 2254 2513 3220 3590 4508 5026 5635 7180 8257 10052 11270 12565 16514 17591 22540 24877 25130 33028 35182 41285 49754 50260 57799 70364 82570 87955 99508 115598 124385 165140 174139 175910 231196 248770 288995 348278 351820 404593 497540 572171 577990 696556 809186 870695 1144342 1155980 1218973 1618372 1741390 2022965 2288684 2437946 2860855 3482780 4005197 4045930 4875892 5721710 6094865 8010394 8091860 8930843 11443420 12189730 16020788 17861686 20025985 24379460 28036379 35723372 40051970 44654215 56072758 62515901 80103940 89308430 112145516 125031802 140181895 178616860 205409389 250063604 280363790 312579505 410818778 437611307 560727580 625159010 821637556 875222614 1027046945 1250318020 1437865723 1750445228 2054093890 2188056535 2875731446 4108187780 4376113070 5751462892 7189328615 8752226140 10065060061 14378657230 20130120122 28757314460 40260240244 50325300305 100650600610 201301201220