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1000202130 = 232537674483
BaseRepresentation
bin111011100111011…
…101111110010010
32120201001112101100
4323213131332102
54022022432010
6243125445230
733533402124
oct7347357622
92521045340
101000202130
11473651734
1223ab70816
1312c2ab1a5
1496ba1214
155cc212c0
hex3b9ddf92

1000202130 has 96 divisors (see below), whose sum is σ = 2711277504. Its totient is φ = 255581568.

The previous prime is 1000202113. The next prime is 1000202149. The reversal of 1000202130 is 312020001.

It is a happy number.

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

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, 220869 + ... + 225351.

It is an arithmetic number, because the mean of its divisors is an integer number (28242474).

Almost surely, 21000202130 is an apocalyptic number.

1000202130 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 1000202130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355638752).

1000202130 is an abundant number, since it is smaller than the sum of its proper divisors (1711075374).

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

1000202130 is a wasteful number, since it uses less digits than its factorization.

1000202130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4597 counting only the distinct ones).

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

The square root of 1000202130 is about 31625.9723961177. The cubic root of 1000202130 is about 1000.0673721276.

Adding to 1000202130 its reverse (312020001), we get a palindrome (1312222131).

The spelling of 1000202130 in words is "one billion, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 67 74 90 111 134 185 201 222 333 335 370 402 555 603 666 670 1005 1110 1206 1665 2010 2479 3015 3330 4483 4958 6030 7437 8966 12395 13449 14874 22311 22415 24790 26898 37185 40347 44622 44830 67245 74370 80694 111555 134490 165871 201735 223110 300361 331742 403470 497613 600722 829355 901083 995226 1492839 1501805 1658710 1802166 2488065 2703249 2985678 3003610 4505415 4976130 5406498 7464195 9010830 11113357 13516245 14928390 22226714 27032490 33340071 55566785 66680142 100020213 111133570 166700355 200040426 333400710 500101065 1000202130