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101101011020220 = 223533735571405693
BaseRepresentation
bin10110111111001101101001…
…110110010010100110111100
3111020222011101021210110000210
4112333031221312102212330
5101222414332310121340
6555005055133552420
730203210205326511
oct2677155166224674
9436864337713023
10101101011020220
112a239775028672
12b40a078045710
134454a27519423
141ad745a695308
15ba4d08dcc180
hex5bf369d929bc

101101011020220 has 96 divisors (see below), whose sum is σ = 284002862165568. Its totient is φ = 26872692682752.

The previous prime is 101101011020201. The next prime is 101101011020237. The reversal of 101101011020220 is 22020110101101.

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 = 101101011020196 and 101101011020205.

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, 71219694 + ... + 72625386.

It is an arithmetic number, because the mean of its divisors is an integer number (2958363147558).

Almost surely, 2101101011020220 is an apocalyptic number.

101101011020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101011020220 is an abundant number, since it is smaller than the sum of its proper divisors (182901851145348).

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

101101011020220 is a wasteful number, since it uses less digits than its factorization.

101101011020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409599 (or 1409597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101011020220 its reverse (22020110101101), we get a palindrome (123121121121321).

The spelling of 101101011020220 in words is "one hundred one trillion, one hundred one billion, eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 2022 3370 3557 4044 5055 6740 7114 10110 10671 14228 17785 20220 21342 35570 42684 53355 71140 106710 213420 1198709 1405693 2397418 2811386 3596127 4217079 4794836 5622772 5993545 7028465 7192254 8434158 11987090 14056930 14384508 16868316 17980635 21085395 23974180 28113860 35961270 42170790 71922540 84341580 473718541 947437082 1421155623 1894874164 2368592705 2842311246 4737185410 5000050001 5684622492 7105778115 9474370820 10000100002 14211556230 15000150003 20000200004 25000250005 28423112460 30000300006 50000500010 60000600012 75000750015 100001000020 150001500030 300003000060 1685016850337 3370033700674 5055050551011 6740067401348 8425084251685 10110101102022 16850168503370 20220202204044 25275252755055 33700337006740 50550505510110 101101011020220