Search a number
-
+
1021121102220 = 2235139389314747
BaseRepresentation
bin11101101101111111000…
…11111000000110001100
310121121200200111120212020
432312333203320012030
5113212224000232340
62101032505010140
7133526222105352
oct16667743700614
93547620446766
101021121102220
1136406727267a
12145a97483950
13753a300216b
14375cb5a17d2
151b865b359d0
hexedbf8f818c

1021121102220 has 96 divisors (see below), whose sum is σ = 2887120454400. Its totient is φ = 269644157184.

The previous prime is 1021121102219. The next prime is 1021121102317. The reversal of 1021121102220 is 222011211201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1021121102220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086887 + ... + 3401633.

It is an arithmetic number, because the mean of its divisors is an integer number (30074171400).

Almost surely, 21021121102220 is an apocalyptic number.

1021121102220 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 1021121102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443560227200).

1021121102220 is an abundant number, since it is smaller than the sum of its proper divisors (1865999352180).

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

1021121102220 is a wasteful number, since it uses less digits than its factorization.

1021121102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315287 (or 315285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1021121102220 its reverse (222011211201), we get a palindrome (1243132313421).

The spelling of 1021121102220 in words is "one trillion, twenty-one billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 389 417 556 695 778 834 1167 1390 1556 1668 1945 2085 2334 2780 3890 4170 4668 5835 7780 8340 11670 23340 54071 108142 162213 216284 270355 314747 324426 540710 629494 648852 811065 944241 1081420 1258988 1573735 1622130 1888482 3147470 3244260 3776964 4721205 6294940 9442410 18884820 43749833 87499666 122436583 131249499 174999332 218749165 244873166 262498998 367309749 437498330 489746332 524997996 612182915 656247495 734619498 874996660 1224365830 1312494990 1469238996 1836548745 2448731660 2624989980 3673097490 7346194980 17018685037 34037370074 51056055111 68074740148 85093425185 102112110222 170186850370 204224220444 255280275555 340373700740 510560551110 1021121102220