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1020311233220 = 225120414236821
BaseRepresentation
bin11101101100011110100…
…10011110001011000100
310121112121020120222110002
432312033102132023010
5113204044133430340
62100420254420432
7133500156246266
oct16661722361304
93545536528402
101020311233220
11363791101054
121458b0201718
13752a42a5236
1437551bc7b36
151b8199ae715
hexed8f49e2c4

1020311233220 has 24 divisors (see below), whose sum is σ = 2142832042008. Its totient is φ = 408090502400.

The previous prime is 1020311233211. The next prime is 1020311233231. The reversal of 1020311233220 is 223321130201.

It can be written as a sum of positive squares in 4 ways, for example, as 301339515136 + 718971718084 = 548944^2 + 847922^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1020311233192 and 1020311233201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877591 + ... + 2359230.

It is an arithmetic number, because the mean of its divisors is an integer number (89284668417).

Almost surely, 21020311233220 is an apocalyptic number.

1020311233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020311233220 is an abundant number, since it is smaller than the sum of its proper divisors (1122520808788).

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

1020311233220 is a wasteful number, since it uses less digits than its factorization.

1020311233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248871 (or 4248869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1020311233220 its reverse (223321130201), we get a palindrome (1243632363421).

The spelling of 1020311233220 in words is "one trillion, twenty billion, three hundred eleven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 12041 24082 48164 60205 120410 240820 4236821 8473642 16947284 21184105 42368210 84736420 51015561661 102031123322 204062246644 255077808305 510155616610 1020311233220