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1001123221020 = 2235132921526149
BaseRepresentation
bin11101001000101111001…
…10000000111000011100
310112201001222221222001120
432210113212000320130
5112400300021033040
62043524253010540
7132220523654616
oct16442746007034
93481058858046
101001123221020
11356634a6052a
12142036183a50
1373536bb9a70
14366516abdb6
151b0951877d0
hexe917980e1c

1001123221020 has 144 divisors (see below), whose sum is σ = 3126458680800. Its totient is φ = 237932577792.

The previous prime is 1001123220997. The next prime is 1001123221067. The reversal of 1001123221020 is 201223211001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 107095 + ... + 1419054.

Almost surely, 21001123221020 is an apocalyptic number.

1001123221020 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 1001123221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563229340400).

1001123221020 is an abundant number, since it is smaller than the sum of its proper divisors (2125335459780).

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

1001123221020 is a wasteful number, since it uses less digits than its factorization.

1001123221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526232 (or 1526201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1001123221020 its reverse (201223211001), we get a palindrome (1202346432021).

The spelling of 1001123221020 in words is "one trillion, one billion, one hundred twenty-three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 754 780 841 870 1131 1508 1682 1740 1885 2262 2523 3364 3770 4205 4524 5046 5655 7540 8410 10092 10933 11310 12615 16820 21866 22620 25230 32799 43732 50460 54665 65598 109330 131196 163995 218660 327990 655980 1526149 3052298 4578447 6104596 7630745 9156894 15261490 18313788 19839937 22892235 30522980 39679874 44258321 45784470 59519811 79359748 88516642 91568940 99199685 119039622 132774963 177033284 198399370 221291605 238079244 265549926 297599055 396798740 442583210 531099852 575358173 595198110 663874815 885166420 1150716346 1190396220 1283491309 1327749630 1726074519 2301432692 2566982618 2655499260 2876790865 3452149038 3850473927 5133965236 5753581730 6417456545 6904298076 7700947854 8630372595 11507163460 12834913090 15401895708 16685387017 17260745190 19252369635 25669826180 33370774034 34521490380 38504739270 50056161051 66741548068 77009478540 83426935085 100112322102 166853870170 200224644204 250280805255 333707740340 500561610510 1001123221020