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1021200220200 = 2335210911560037
BaseRepresentation
bin11101101110001000100…
…01101100000000101000
310121121220012101012022210
432313010101230000220
5113212404224021300
62101044412445120
7133531202436126
oct16670421540050
93547805335283
101021200220200
113640a79a1136
12145ab9a797a0
13753b6513c34
14375d7cb8916
151b86ca63050
hexedc446c028

1021200220200 has 96 divisors (see below), whose sum is σ = 3168624382560. Its totient is φ = 272070278400.

The previous prime is 1021200220193. The next prime is 1021200220207. The reversal of 1021200220200 is 20220021201.

It is an interprime number because it is at equal distance from previous prime (1021200220193) and next prime (1021200220207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1021200220207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125419 + ... + 1434618.

It is an arithmetic number, because the mean of its divisors is an integer number (33006503985).

Almost surely, 21021200220200 is an apocalyptic number.

1021200220200 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 1021200220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584312191280).

1021200220200 is an abundant number, since it is smaller than the sum of its proper divisors (2147424162360).

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

1021200220200 is a wasteful number, since it uses less digits than its factorization.

1021200220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561147 (or 1561138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1021200220200 its reverse (20220021201), we get a palindrome (1041420241401).

The spelling of 1021200220200 in words is "one trillion, twenty-one billion, two hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1091 2182 3273 4364 5455 6546 8728 10910 13092 16365 21820 26184 27275 32730 43640 54550 65460 81825 109100 130920 163650 218200 327300 654600 1560037 3120074 4680111 6240148 7800185 9360222 12480296 15600370 18720444 23400555 31200740 37440888 39000925 46801110 62401480 78001850 93602220 117002775 156003700 187204440 234005550 312007400 468011100 936022200 1702000367 3404000734 5106001101 6808001468 8510001835 10212002202 13616002936 17020003670 20424004404 25530005505 34040007340 40848008808 42550009175 51060011010 68080014680 85100018350 102120022020 127650027525 170200036700 204240044040 255300055050 340400073400 510600110100 1021200220200