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1001002201220 = 2257191567240151
BaseRepresentation
bin11101001000100000110…
…00010111000010000100
310112200202120020112002202
432210100120113002010
5112400023030414340
62043504251054032
7132214524215330
oct16442030270204
93480676215082
101001002201220
1135658271256a
12142001741318
1373517ac6908
143663d5a87c0
151b08972ec15
hexe910617084

1001002201220 has 96 divisors (see below), whose sum is σ = 2530472017920. Its totient is φ = 324928713600.

The previous prime is 1001002201193. The next prime is 1001002201289. The reversal of 1001002201220 is 221022001001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4048145 + ... + 4288295.

It is an arithmetic number, because the mean of its divisors is an integer number (26359083520).

Almost surely, 21001002201220 is an apocalyptic number.

1001002201220 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 1001002201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265236008960).

1001002201220 is an abundant number, since it is smaller than the sum of its proper divisors (1529469816700).

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

1001002201220 is a wasteful number, since it uses less digits than its factorization.

1001002201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241753 (or 241751 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001002201220 its reverse (221022001001), we get a palindrome (1222024202221).

The spelling of 1001002201220 in words is "one trillion, one billion, two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1567 2660 3134 6268 7835 10969 15670 21938 29773 31340 43876 54845 59546 109690 119092 148865 208411 219380 240151 297730 416822 480302 595460 833644 960604 1042055 1200755 1681057 2084110 2401510 3362114 4168220 4562869 4803020 6724228 8405285 9125738 16810570 18251476 22814345 31940083 33621140 45628690 63880166 91257380 127760332 159700415 319400830 376316617 638801660 752633234 1505266468 1881583085 2634216319 3763166170 5268432638 7150015723 7526332340 10536865276 13171081595 14300031446 26342163190 28600062892 35750078615 50050110061 52684326380 71500157230 100100220122 143000314460 200200440244 250250550305 500501100610 1001002201220