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1001122201020 = 223537955779039
BaseRepresentation
bin11101001000101111000…
…10000111110110111100
310112201001221001010212210
432210113202013312330
5112400244240413040
62043524215100420
7132220512206064
oct16442742076674
93481057033783
101001122201020
11356634424157
12142035971710
1373536920706
14366514c43a4
151b095035480
hexe917887dbc

1001122201020 has 96 divisors (see below), whose sum is σ = 2815619788800. Its totient is φ = 265780134144.

The previous prime is 1001122201007. The next prime is 1001122201043. The reversal of 1001122201020 is 201022211001.

It is a super-2 number, since 2×10011222010202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001122200987 and 1001122201005.

It is a congruent 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, 12626661 + ... + 12705699.

It is an arithmetic number, because the mean of its divisors is an integer number (29329372800).

Almost surely, 21001122201020 is an apocalyptic number.

1001122201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122201020 is an abundant number, since it is smaller than the sum of its proper divisors (1814497587780).

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

1001122201020 is a wasteful number, since it uses less digits than its factorization.

1001122201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79987 (or 79985 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001122201020 its reverse (201022211001), we get a palindrome (1202144412021).

The spelling of 1001122201020 in words is "one trillion, one billion, one hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 379 557 758 1114 1137 1516 1671 1895 2228 2274 2785 3342 3790 4548 5570 5685 6684 7580 8355 11140 11370 16710 22740 33420 79039 158078 211103 237117 316156 395195 422206 474234 633309 790390 844412 948468 1055515 1185585 1266618 1580780 2111030 2371170 2533236 3166545 4222060 4742340 6333090 12666180 29955781 44024723 59911562 88049446 89867343 119823124 132074169 149778905 176098892 179734686 220123615 264148338 299557810 359469372 440247230 449336715 528296676 599115620 660370845 880494460 898673430 1320741690 1797346860 2641483380 16685370017 33370740034 50056110051 66741480068 83426850085 100112220102 166853700170 200224440204 250280550255 333707400340 500561100510 1001122201020