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1030202100 = 2232523730937
BaseRepresentation
bin111101011001111…
…010001011110100
32122210111200121100
4331121322023310
54102212431400
6250120450100
734346400444
oct7531721364
92583450540
101030202100
114895820a4
12249019930
13135583155
149ab70124
156069a100
hex3d67a2f4

1030202100 has 108 divisors (see below), whose sum is σ = 3316491724. Its totient is φ = 267287040.

The previous prime is 1030202087. The next prime is 1030202111. The reversal of 1030202100 is 12020301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18198756 + 1012003344 = 4266^2 + 31812^2 .

It is a super-2 number, since 2×10302021002 = 2122632733688820000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17832 + ... + 48768.

Almost surely, 21030202100 is an apocalyptic number.

1030202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658245862).

1030202100 is an abundant number, since it is smaller than the sum of its proper divisors (2286289624).

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

1030202100 is a wasteful number, since it uses less digits than its factorization.

1030202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30994 (or 30984 counting only the distinct ones).

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

The square root of 1030202100 is about 32096.7615188822. The cubic root of 1030202100 is about 1009.9676818728.

Adding to 1030202100 its reverse (12020301), we get a palindrome (1042222401).

The spelling of 1030202100 in words is "one billion, thirty million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 30937 33300 61874 92811 123748 154685 185622 278433 309370 371244 464055 556866 618740 773425 928110 1113732 1144669 1392165 1546850 1856220 2289338 2320275 2784330 3093700 3434007 4578676 4640550 5568660 5723345 6868014 6960825 9281100 10302021 11446690 13736028 13921650 17170035 20604042 22893380 27843300 28616725 34340070 41208084 51510105 57233450 68680140 85850175 103020210 114466900 171700350 206040420 257550525 343400700 515101050 1030202100