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1022221212200 = 235211294527109
BaseRepresentation
bin11101110000000010010…
…00011101101000101000
310121201112100112222001022
432320001020131220220
5113222002112242300
62101334004112012
7133565410640156
oct16700110355050
93551470488038
101022221212200
11364581252581
12146143995608
1375519bc0c06
143769372c3d6
151b8cc4de285
hexee0121da28

1022221212200 has 48 divisors (see below), whose sum is σ = 2378769949500. Its totient is φ = 408526225920.

The previous prime is 1022221212179. The next prime is 1022221212217. The reversal of 1022221212200 is 22121222201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 177340369924 + 844880842276 = 421118^2 + 919174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2037755 + ... + 2489354.

Almost surely, 21022221212200 is an apocalyptic number.

1022221212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022221212200 is an abundant number, since it is smaller than the sum of its proper divisors (1356548737300).

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

1022221212200 is a wasteful number, since it uses less digits than its factorization.

1022221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528254 (or 4528245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1022221212200 its reverse (22121222201), we get a palindrome (1044342434401).

The spelling of 1022221212200 in words is "one trillion, twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1129 2258 4516 5645 9032 11290 22580 28225 45160 56450 112900 225800 4527109 9054218 18108436 22635545 36216872 45271090 90542180 113177725 181084360 226355450 452710900 905421800 5111106061 10222212122 20444424244 25555530305 40888848488 51111060610 102222121220 127777651525 204444242440 255555303050 511110606100 1022221212200