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1001121330 = 2351121716223
BaseRepresentation
bin111011101010111…
…110011000110010
32120202210020021210
4323222332120302
54022241340310
6243201300550
733544251036
oct7352763062
92522706253
101001121330
1147411a300
1223b334756
1312c5406b1
1496d601c6
155cd53820
hex3babe632

1001121330 has 96 divisors (see below), whose sum is σ = 2796498432. Its totient is φ = 228405760.

The previous prime is 1001121323. The next prime is 1001121337. The reversal of 1001121330 is 331211001.

It is an interprime number because it is at equal distance from previous prime (1001121323) and next prime (1001121337).

It is not an unprimeable number, because it can be changed into a prime (1001121337) 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, 53599 + ... + 69821.

It is an arithmetic number, because the mean of its divisors is an integer number (29130192).

Almost surely, 21001121330 is an apocalyptic number.

1001121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398249216).

1001121330 is an abundant number, since it is smaller than the sum of its proper divisors (1795377102).

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

1001121330 is a wasteful number, since it uses less digits than its factorization.

1001121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272 (or 16261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1001121330 is about 31640.5014182772. The cubic root of 1001121330 is about 1000.3736370446.

Adding to 1001121330 its reverse (331211001), we get a palindrome (1332332331).

The spelling of 1001121330 in words is "one billion, one million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 121 165 170 187 242 255 330 363 374 510 561 605 726 935 1122 1210 1815 1870 2057 2805 3630 4114 5610 6171 10285 12342 16223 20570 30855 32446 48669 61710 81115 97338 162230 178453 243345 275791 356906 486690 535359 551582 827373 892265 1070718 1378955 1654746 1784530 1962983 2676795 2757910 3033701 3925966 4136865 5353590 5888949 6067402 8273730 9101103 9814915 11777898 15168505 18202206 19629830 29444745 30337010 33370711 45505515 58889490 66741422 91011030 100112133 166853555 200224266 333707110 500560665 1001121330