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10220212012200 = 23352136112515567
BaseRepresentation
bin1001010010111001010000…
…0110110100010010101000
31100012001011010222112122020
42110232110012310102220
52314421443233342300
633423033420424440
72103246244512501
oct224562406642250
940161133875566
1010220212012200
113290405271133
1211908b43a8120
135919b9a54018
14274937723ba8
1512acb7a618a0
hex94b941b44a8

10220212012200 has 96 divisors (see below), whose sum is σ = 31705938725760. Its totient is φ = 2723387161600.

The previous prime is 10220212012169. The next prime is 10220212012211. The reversal of 10220212012200 is 221021202201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220212012200.

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, 5441184 + ... + 7074383.

It is an arithmetic number, because the mean of its divisors is an integer number (330270195060).

Almost surely, 210220212012200 is an apocalyptic number.

10220212012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220212012200 is an abundant number, since it is smaller than the sum of its proper divisors (21485726713560).

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

10220212012200 is a wasteful number, since it uses less digits than its factorization.

10220212012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516947 (or 12516938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220212012200 its reverse (221021202201), we get a palindrome (10441233214401).

The spelling of 10220212012200 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, twelve 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 1361 2722 4083 5444 6805 8166 10888 13610 16332 20415 27220 32664 34025 40830 54440 68050 81660 102075 136100 163320 204150 272200 408300 816600 12515567 25031134 37546701 50062268 62577835 75093402 100124536 125155670 150186804 187733505 250311340 300373608 312889175 375467010 500622680 625778350 750934020 938667525 1251556700 1501868040 1877335050 2503113400 3754670100 7509340200 17033686687 34067373374 51101060061 68134746748 85168433435 102202120122 136269493496 170336866870 204404240244 255505300305 340673733740 408808480488 425842167175 511010600610 681347467480 851684334350 1022021201220 1277526501525 1703368668700 2044042402440 2555053003050 3406737337400 5110106006100 10220212012200