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1000130202 = 232374789359
BaseRepresentation
bin111011100111001…
…100011010011010
32120200220212201100
4323213030122122
54022013131302
6243124132230
733532652331
oct7347143232
92520825640
101000130202
11473602695
1223ab37076
1312c284526
1496b82d18
155cc09d1c
hex3b9cc69a

1000130202 has 96 divisors (see below), whose sum is σ = 2304806400. Its totient is φ = 313023744.

The previous prime is 1000130147. The next prime is 1000130203. The reversal of 1000130202 is 2020310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000130203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2785699 + ... + 2786057.

It is an arithmetic number, because the mean of its divisors is an integer number (24008400).

Almost surely, 21000130202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000130202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152403200).

1000130202 is an abundant number, since it is smaller than the sum of its proper divisors (1304676198).

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

1000130202 is a wasteful number, since it uses less digits than its factorization.

1000130202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000130202 is about 31624.8352090568. The cubic root of 1000130202 is about 1000.0433987832.

Adding to 1000130202 its reverse (2020310001), we get a palindrome (3020440203).

The spelling of 1000130202 in words is "one billion, one hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 47 74 89 94 111 141 178 222 267 282 333 359 423 534 666 718 801 846 1077 1602 1739 2154 3231 3293 3478 4183 5217 6462 6586 8366 9879 10434 12549 13283 15651 16873 19758 25098 26566 29637 31302 31951 33746 37647 39849 50619 59274 63902 75294 79698 95853 101238 119547 151857 154771 191706 239094 287559 303714 309542 464313 575118 624301 928626 1182187 1248602 1392939 1501697 1872903 2364374 2785878 3003394 3546561 3745806 4505091 5618709 7093122 9010182 10639683 11237418 13515273 21279366 27030546 55562789 111125578 166688367 333376734 500065101 1000130202