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1020106650 = 235237414483
BaseRepresentation
bin111100110011011…
…001011110011010
32122002111210020210
4330303121132122
54042121403100
6245120231550
734164522603
oct7463313632
92562453223
101020106650
11483907252
1224576b5b6
1313345a004
14996a2daa
155e853c50
hex3ccd979a

1020106650 has 96 divisors (see below), whose sum is σ = 2662204608. Its totient is φ = 258163200.

The previous prime is 1020106643. The next prime is 1020106651. The reversal of 1020106650 is 566010201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1020106651) 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, 225309 + ... + 229791.

It is an arithmetic number, because the mean of its divisors is an integer number (27731298).

Almost surely, 21020106650 is an apocalyptic number.

1020106650 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 1020106650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331102304).

1020106650 is an abundant number, since it is smaller than the sum of its proper divisors (1642097958).

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

1020106650 is a wasteful number, since it uses less digits than its factorization.

1020106650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1020106650 is about 31939.1084722163. The cubic root of 1020106650 is about 1006.6577920995.

Adding to 1020106650 its reverse (566010201), we get a palindrome (1586116851).

The spelling of 1020106650 in words is "one billion, twenty million, one hundred six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 41 50 74 75 82 111 123 150 185 205 222 246 370 410 555 615 925 1025 1110 1230 1517 1850 2050 2775 3034 3075 4483 4551 5550 6150 7585 8966 9102 13449 15170 22415 22755 26898 37925 44830 45510 67245 75850 112075 113775 134490 165871 183803 224150 227550 331742 336225 367606 497613 551409 672450 829355 919015 995226 1102818 1658710 1838030 2488065 2757045 4146775 4595075 4976130 5514090 6800711 8293550 9190150 12440325 13601422 13785225 20402133 24880650 27570450 34003555 40804266 68007110 102010665 170017775 204021330 340035550 510053325 1020106650