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1001331111220 = 2251147104992317
BaseRepresentation
bin11101001001000111111…
…11000011010100110100
310112201121111010212210121
432210203333003110310
5112401211231024340
62044001040501324
7132225630003526
oct16444377032464
93481544125717
101001331111220
11356731342510
1214209391a844
137356aca750b
1436671145a16
151b0a854e94a
hexe923fc3534

1001331111220 has 96 divisors (see below), whose sum is σ = 2345024908800. Its totient is φ = 356029578240.

The previous prime is 1001331111169. The next prime is 1001331111223. The reversal of 1001331111220 is 221111331001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001331111194 and 1001331111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001331111223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10800502 + ... + 10892818.

It is an arithmetic number, because the mean of its divisors is an integer number (24427342800).

Almost surely, 21001331111220 is an apocalyptic number.

1001331111220 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 1001331111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172512454400).

1001331111220 is an abundant number, since it is smaller than the sum of its proper divisors (1343693797580).

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

1001331111220 is a wasteful number, since it uses less digits than its factorization.

1001331111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93433 (or 93431 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1001331111220 its reverse (221111331001), we get a palindrome (1222442442221).

The spelling of 1001331111220 in words is "one trillion, one billion, three hundred thirty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1049 2068 2098 2585 4196 5170 5245 10340 10490 11539 20980 23078 46156 49303 57695 92317 98606 115390 184634 197212 230780 246515 369268 461585 493030 542333 923170 986060 1015487 1084666 1846340 2030974 2169332 2711665 4061948 4338899 5077435 5423330 8677798 10154870 10846660 17355596 20309740 21694495 43388990 47727889 86777980 95455778 96840533 190911556 193681066 238639445 387362132 477278890 484202665 954557780 968405330 1065245863 1936810660 2130491726 4260983452 4551505051 5326229315 9103010102 10652458630 18206020204 21304917260 22757525255 45515050510 50066555561 91030101020 100133111122 200266222244 250332777805 500665555610 1001331111220