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1302221220 = 2235292131197
BaseRepresentation
bin100110110011110…
…0101000110100100
310100202100200200120
41031213211012210
510131332034340
6333115041540
744161461216
oct11547450644
93322320616
101302221220
11609085093
123041402b0
13179a35001
14c4d3c5b6
15794cd4d0
hex4d9e51a4

1302221220 has 144 divisors (see below), whose sum is σ = 3824428608. Its totient is φ = 331036160.

The previous prime is 1302221203. The next prime is 1302221237. The reversal of 1302221220 is 221222031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1302221203) and next prime (1302221237).

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 1302221220.

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, 6610162 + ... + 6610358.

It is an arithmetic number, because the mean of its divisors is an integer number (26558532).

Almost surely, 21302221220 is an apocalyptic number.

1302221220 is a gapful number since it is divisible by the number (10) 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 1302221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912214304).

1302221220 is an abundant number, since it is smaller than the sum of its proper divisors (2522207388).

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

1302221220 is a wasteful number, since it uses less digits than its factorization.

1302221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

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

The square root of 1302221220 is about 36086.3023874711. The cubic root of 1302221220 is about 1092.0141251913.

Adding to 1302221220 its reverse (221222031), we get a palindrome (1523443251).

The spelling of 1302221220 in words is "one billion, three hundred two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 131 145 174 197 262 290 348 393 394 435 524 580 591 655 786 788 841 870 985 1182 1310 1572 1682 1740 1965 1970 2364 2523 2620 2955 3364 3799 3930 3940 4205 5046 5713 5910 7598 7860 8410 10092 11397 11426 11820 12615 15196 16820 17139 18995 22794 22852 25230 25807 28565 34278 37990 45588 50460 51614 56985 57130 68556 75980 77421 85695 103228 110171 113970 114260 129035 154842 165677 171390 220342 227940 258070 309684 330513 331354 342780 387105 440684 497031 516140 550855 661026 662708 748403 774210 828385 994062 1101710 1322052 1496806 1548420 1652565 1656770 1988124 2203420 2245209 2485155 2993612 3305130 3313540 3742015 4490418 4970310 6610260 7484030 8980836 9940620 11226045 14968060 21703687 22452090 43407374 44904180 65111061 86814748 108518435 130222122 217036870 260444244 325555305 434073740 651110610 1302221220