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1020212012200 = 235216350961483
BaseRepresentation
bin11101101100010010101…
…11111110010010101000
310121112100022220000210111
432312021113332102220
5113203343233342300
62100402352024104
7133464543010213
oct16661127762250
93545308800714
101020212012200
113637400a1907
12145882b32034
1375289875184
143754295a77a
151b810e109ba
hexed895fe4a8

1020212012200 has 96 divisors (see below), whose sum is σ = 2391272618400. Its totient is φ = 404777813760.

The previous prime is 1020212012189. The next prime is 1020212012243. The reversal of 1020212012200 is 22102120201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16562659 + ... + 16624141.

It is an arithmetic number, because the mean of its divisors is an integer number (24909089775).

Almost surely, 21020212012200 is an apocalyptic number.

1020212012200 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 1020212012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195636309200).

1020212012200 is an abundant number, since it is smaller than the sum of its proper divisors (1371060606200).

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

1020212012200 is a wasteful number, since it uses less digits than its factorization.

1020212012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62171 (or 62162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020212012200 its reverse (22102120201), we get a palindrome (1042314132401).

The spelling of 1020212012200 in words is "one trillion, twenty billion, two hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 509 652 815 1018 1304 1630 2036 2545 3260 4072 4075 5090 6520 8150 10180 12725 16300 20360 25450 32600 50900 61483 82967 101800 122966 165934 245932 307415 331868 414835 491864 614830 663736 829670 1229660 1537075 1659340 2074175 2459320 3074150 3318680 4148350 6148300 8296700 10021729 12296600 16593400 20043458 31294847 40086916 50108645 62589694 80173832 100217290 125179388 156474235 200434580 250358776 250543225 312948470 400869160 501086450 625896940 782371175 1002172900 1251793880 1564742350 2004345800 3129484700 5101060061 6258969400 10202120122 20404240244 25505300305 40808480488 51010600610 102021201220 127526501525 204042402440 255053003050 510106006100 1020212012200