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12200030100 = 22325273185693
BaseRepresentation
bin10110101110010110…
…11010111110010100
31011111020111202001200
423113023122332110
5144441201430400
65334332552500
7611220354606
oct132713327624
934436452050
1012200030100
1151a0665205
122445922730
1311c572c72b
1483a40b176
154b60d3b00
hex2d72daf94

12200030100 has 108 divisors (see below), whose sum is σ = 38764365276. Its totient is φ = 3208757760.

The previous prime is 12200030057. The next prime is 12200030113. The reversal of 12200030100 is 103000221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 271458576 + 11928571524 = 16476^2 + 109218^2 .

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, 27147 + ... + 158546.

Almost surely, 212200030100 is an apocalyptic number.

12200030100 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 12200030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382182638).

12200030100 is an abundant number, since it is smaller than the sum of its proper divisors (26564335176).

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

12200030100 is a wasteful number, since it uses less digits than its factorization.

12200030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185786 (or 185776 counting only the distinct ones).

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

Adding to 12200030100 its reverse (103000221), we get a palindrome (12303030321).

It can be divided in two parts, 122000 and 30100, that added together give a square (152100 = 3902).

The spelling of 12200030100 in words is "twelve billion, two hundred million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1095 1314 1460 1825 2190 2628 3285 3650 4380 5475 6570 7300 10950 13140 16425 21900 32850 65700 185693 371386 557079 742772 928465 1114158 1671237 1856930 2228316 2785395 3342474 3713860 4642325 5570790 6684948 8356185 9284650 11141580 13555589 13926975 16712370 18569300 27111178 27853950 33424740 40666767 41780925 54222356 55707900 67777945 81333534 83561850 122000301 135555890 162667068 167123700 203333835 244000602 271111780 338889725 406667670 488001204 610001505 677779450 813335340 1016669175 1220003010 1355558900 2033338350 2440006020 3050007525 4066676700 6100015050 12200030100