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1002112201220 = 225139533404309
BaseRepresentation
bin11101001010100101000…
…10101011001000000100
310112210121220220100211212
432211102202223020010
5112404311210414340
62044210342150552
7132254163111044
oct16452242531004
93483556810755
101002112201220
11356aa2237a39
12142271422458
1373663a69150
1436706b8b724
151b101ddda65
hexe9528ab204

1002112201220 has 48 divisors (see below), whose sum is σ = 2266558625520. Its totient is φ = 369970930176.

The previous prime is 1002112201183. The next prime is 1002112201241. The reversal of 1002112201220 is 221022112001.

It can be written as a sum of positive squares in 8 ways, for example, as 217424498944 + 784687702276 = 466288^2 + 885826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002112201195 and 1002112201204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2276426 + ... + 2680734.

It is an arithmetic number, because the mean of its divisors is an integer number (47219971365).

Almost surely, 21002112201220 is an apocalyptic number.

1002112201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002112201220 is an abundant number, since it is smaller than the sum of its proper divisors (1264446424300).

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

1002112201220 is a wasteful number, since it uses less digits than its factorization.

1002112201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413864 (or 413862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002112201220 its reverse (221022112001), we get a palindrome (1223134313221).

The spelling of 1002112201220 in words is "one trillion, two billion, one hundred twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 9533 19066 38132 47665 95330 123929 190660 247858 404309 495716 619645 808618 1239290 1617236 2021545 2478580 4043090 5256017 8086180 10512034 21024068 26280085 52560170 105120340 3854277697 7708555394 15417110788 19271388485 38542776970 50105610061 77085553940 100211220122 200422440244 250528050305 501056100610 1002112201220