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1030302212200 = 235261401210601
BaseRepresentation
bin11101111111000101100…
…11000010000001101000
310122111101112101022001121
432333202303002001220
5113340024331242300
62105151520025024
7134302564210012
oct16774263020150
93574345338047
101030302212200
11367a48814478
1214781a162174
1376207154611
1437c1ca7d1b2
151bc01b8981a
hexefe2cc2068

1030302212200 has 96 divisors (see below), whose sum is σ = 2440805575320. Its totient is φ = 404352000000.

The previous prime is 1030302212189. The next prime is 1030302212231. The reversal of 1030302212200 is 22122030301.

It can be written as a sum of positive squares in 12 ways, for example, as 10198172196 + 1020104040004 = 100986^2 + 1010002^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4786900 + ... + 4997500.

Almost surely, 21030302212200 is an apocalyptic number.

1030302212200 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 1030302212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220402787660).

1030302212200 is an abundant number, since it is smaller than the sum of its proper divisors (1410503363120).

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

1030302212200 is a wasteful number, since it uses less digits than its factorization.

1030302212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211079 (or 211070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1030302212200 its reverse (22122030301), we get a palindrome (1052424242501).

The spelling of 1030302212200 in words is "one trillion, thirty billion, three hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 401 488 610 802 1220 1525 1604 2005 2440 3050 3208 4010 6100 8020 10025 12200 16040 20050 24461 40100 48922 80200 97844 122305 195688 210601 244610 421202 489220 611525 842404 978440 1053005 1223050 1684808 2106010 2446100 4212020 4892200 5265025 8424040 10530050 12846661 21060100 25693322 42120200 51386644 64233305 84451001 102773288 128466610 168902002 256933220 321166525 337804004 422255005 513866440 642333050 675608008 844510010 1284666100 1689020020 2111275025 2569332200 3378040040 4222550050 5151511061 8445100100 10303022122 16890200200 20606044244 25757555305 41212088488 51515110610 103030221220 128787776525 206060442440 257575553050 515151106100 1030302212200