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1001122100220 = 2235113740995991
BaseRepresentation
bin11101001000101111000…
…01101111001111111100
310112201001220212000121110
432210113201233033330
5112400244224201340
62043524213002020
7132220511306154
oct16442741571774
93481056760543
101001122100220
11356634365450
12142035923310
13735368b6878
1436651499764
151b095015680
hexe91786f3fc

1001122100220 has 96 divisors (see below), whose sum is σ = 3140620955136. Its totient is φ = 236136902400.

The previous prime is 1001122100197. The next prime is 1001122100273. The reversal of 1001122100220 is 220012211001.

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 = 1001122100196 and 1001122100205.

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, 20473576 + ... + 20522415.

It is an arithmetic number, because the mean of its divisors is an integer number (32714801616).

Almost surely, 21001122100220 is an apocalyptic number.

1001122100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122100220 is an abundant number, since it is smaller than the sum of its proper divisors (2139498854916).

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

1001122100220 is a wasteful number, since it uses less digits than its factorization.

1001122100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40996051 (or 40996049 counting only the distinct ones).

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

Adding to 1001122100220 its reverse (220012211001), we get a palindrome (1221134311221).

It can be divided in two parts, 1001 and 122100220, that added together give a palindrome (122101221).

The spelling of 1001122100220 in words is "one trillion, one billion, one hundred twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 40995991 81991982 122987973 163983964 204979955 245975946 409959910 450955901 491951892 614939865 819919820 901911802 1229879730 1352867703 1516851667 1803823604 2254779505 2459759460 2705735406 3033703334 4509559010 4550555001 5411470812 6067406668 6764338515 7584258335 9019118020 9101110002 13528677030 15168516670 16685368337 18202220004 22752775005 27057354060 30337033340 33370736674 45505550010 50056105011 66741473348 83426841685 91011100020 100112210022 166853683370 200224420044 250280525055 333707366740 500561050110 1001122100220