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1001101020220 = 2257192120116493
BaseRepresentation
bin11101001000101100100…
…01010100110000111100
310112201000110012001021201
432210112101110300330
5112400223330121340
62043522141105244
7132220134161350
oct16442621246074
93481013161251
101001101020220
11356623477764
1214202a858224
13735324159b2
143664c76d460
151b09324e79a
hexe916454c3c

1001101020220 has 144 divisors (see below), whose sum is σ = 2538018076608. Its totient is φ = 324879206400.

The previous prime is 1001101020209. The next prime is 1001101020281. The reversal of 1001101020220 is 220201011001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001101020197 and 1001101020206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60690294 + ... + 60706786.

It is an arithmetic number, because the mean of its divisors is an integer number (17625125532).

Almost surely, 21001101020220 is an apocalyptic number.

1001101020220 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 1001101020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269009038304).

1001101020220 is an abundant number, since it is smaller than the sum of its proper divisors (1536917056388).

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

1001101020220 is a wasteful number, since it uses less digits than its factorization.

1001101020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748 (or 17727 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001101020220 its reverse (220201011001), we get a palindrome (1221302031221).

The spelling of 1001101020220 in words is "one trillion, one billion, one hundred one million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1201 1330 1444 1805 2402 2527 2660 3610 4804 5054 6005 7220 8407 10108 12010 12635 16493 16814 22819 24020 25270 32986 33628 42035 45638 50540 65972 82465 84070 91276 114095 115451 159733 164930 168140 228190 230902 313367 319466 329860 433561 456380 461804 577255 626734 638932 798665 867122 1154510 1253468 1566835 1597330 1734244 2167805 2193569 2309020 3034927 3133670 3194660 4335610 4387138 5953973 6069854 6267340 8671220 8774276 10967845 11907946 12139708 15174635 19808093 21935690 23815892 29769865 30349270 39616186 41677811 43871380 59539730 60698540 79232372 83355622 99040465 119079460 138656651 166711244 198080930 208389055 277313302 376353767 396161860 416778110 554626604 693283255 752707534 833556220 1386566510 1505415068 1881768835 2634476369 2773133020 3763537670 5268952738 7150721573 7527075340 10537905476 13172381845 14301443146 26344763690 28602886292 35753607865 50055051011 52689527380 71507215730 100110102022 143014431460 200220204044 250275255055 500550510110 1001101020220