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1020011202 = 232741474201
BaseRepresentation
bin111100110011000…
…010001011000010
32122002022221022200
4330303002023002
54042110324302
6245114214030
734163644410
oct7463021302
92562287280
101020011202
11483851571
12245724316
13133425732
149967a2b0
155e83581c
hex3ccc22c2

1020011202 has 96 divisors (see below), whose sum is σ = 2643024384. Its totient is φ = 278208000.

The previous prime is 1020011189. The next prime is 1020011207. The reversal of 1020011202 is 2021100201.

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 (1020011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240702 + ... + 244902.

It is an arithmetic number, because the mean of its divisors is an integer number (27531504).

Almost surely, 21020011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321512192).

1020011202 is an abundant number, since it is smaller than the sum of its proper divisors (1623013182).

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

1020011202 is a wasteful number, since it uses less digits than its factorization.

1020011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020011202 is about 31937.6142189738. The cubic root of 1020011202 is about 1006.6263945752.

Adding to 1020011202 its reverse (2021100201), we get a palindrome (3041111403).

The spelling of 1020011202 in words is "one billion, twenty million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 47 63 82 94 123 126 141 246 282 287 329 369 423 574 658 738 846 861 987 1722 1927 1974 2583 2961 3854 4201 5166 5781 5922 8402 11562 12603 13489 17343 25206 26978 29407 34686 37809 40467 58814 75618 80934 88221 121401 172241 176442 197447 242802 264663 344482 394894 516723 529326 592341 1033446 1184682 1205687 1382129 1550169 1777023 2411374 2764258 3100338 3554046 3617061 4146387 7234122 8095327 8292774 10851183 12439161 16190654 21702366 24285981 24878322 48571962 56667289 72857943 113334578 145715886 170001867 340003734 510005601 1020011202