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1020110001220 = 2251719009157837
BaseRepresentation
bin11101101100000110100…
…10110101010001000100
310121112002012221100001001
432312003102311101010
5113203141130014340
62100344305343044
7133462163641132
oct16660322652104
93545065840031
101020110001220
11363698557512
12145854937a84
13752716a924b
14375331a4752
151b806eb029a
hexed834b5444

1020110001220 has 48 divisors (see below), whose sum is σ = 2268378287280. Its totient is φ = 384018776064.

The previous prime is 1020110001193. The next prime is 1020110001221. The reversal of 1020110001220 is 221000110201.

It can be written as a sum of positive squares in 8 ways, for example, as 259757392896 + 760352608324 = 509664^2 + 871982^2 .

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 = 1020110001197 and 1020110001206.

It is not an unprimeable number, because it can be changed into a prime (1020110001221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6384142 + ... + 6541978.

It is an arithmetic number, because the mean of its divisors is an integer number (47257880985).

Almost surely, 21020110001220 is an apocalyptic number.

1020110001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020110001220 is an abundant number, since it is smaller than the sum of its proper divisors (1248268286060).

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

1020110001220 is a wasteful number, since it uses less digits than its factorization.

1020110001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176872 (or 176870 counting only the distinct ones).

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

Adding to 1020110001220 its reverse (221000110201), we get a palindrome (1241110111421).

The spelling of 1020110001220 in words is "one trillion, twenty billion, one hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 19009 38018 76036 95045 157837 190090 315674 323153 380180 631348 646306 789185 1292612 1578370 1615765 2683229 3156740 3231530 5366458 6463060 10732916 13416145 26832290 53664580 3000323533 6000647066 12001294132 15001617665 30003235330 51005500061 60006470660 102011000122 204022000244 255027500305 510055000610 1020110001220