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1011000221010 = 23451396011417
BaseRepresentation
bin11101011011001000100…
…11110001110101010010
310120122120100021112220000
432231210103301311102
5113031012024033020
62052240323230430
7133020346042143
oct16554423616522
93518510245800
101011000221010
1135a8432a483a
12143b31b18416
137444c26c960
1436d0b373aca
151b47234b090
hexeb644f1d52

1011000221010 has 80 divisors (see below), whose sum is σ = 2927580157656. Its totient is φ = 248861590272.

The previous prime is 1011000220973. The next prime is 1011000221039. The reversal of 1011000221010 is 101220001101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 832231079289 + 178769141721 = 912267^2 + 422811^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011000220983 and 1011000221001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47995179 + ... + 48016238.

Almost surely, 21011000221010 is an apocalyptic number.

1011000221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011000221010 is an abundant number, since it is smaller than the sum of its proper divisors (1916579936646).

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

1011000221010 is a wasteful number, since it uses less digits than its factorization.

1011000221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96011449 (or 96011440 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011000221010 its reverse (101220001101), we get a palindrome (1112220222111).

The spelling of 1011000221010 in words is "one trillion, eleven billion, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 96011417 192022834 288034251 480057085 576068502 864102753 960114170 1248148421 1440171255 1728205506 2496296842 2592308259 2880342510 3744445263 4320513765 5184616518 6240742105 7488890526 7776924777 8641027530 11233335789 12481484210 12961541295 15553849554 18722226315 22466671578 25923082590 33700007367 37444452630 38884623885 56166678945 67400014734 77769247770 101100022101 112333357890 168500036835 202200044202 337000073670 505500110505 1011000221010