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1020104034213 = 311214783190097
BaseRepresentation
bin11101101100000101111…
…00000100011110100101
310121112001210201011211210
432312002330010132211
5113203133113043323
62100343533422033
7133462062136455
oct16660274043645
93545053634753
101020104034213
11363695151400
1214585293a919
137527039a284
143753248dd65
151b8066d2293
hexed82f047a5

1020104034213 has 24 divisors (see below), whose sum is σ = 1495137498624. Its totient is φ = 618199795840.

The previous prime is 1020104034179. The next prime is 1020104034221. The reversal of 1020104034213 is 3124304010201.

1020104034213 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020104034213 - 26 = 1020104034149 is a prime.

It is a super-2 number, since 2×10201040342132 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020104034213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020104034253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271181 + ... + 5461277.

It is an arithmetic number, because the mean of its divisors is an integer number (62297395776).

Almost surely, 21020104034213 is an apocalyptic number.

It is an amenable number.

1020104034213 is a deficient number, since it is larger than the sum of its proper divisors (475033464411).

1020104034213 is a wasteful number, since it uses less digits than its factorization.

1020104034213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204905 (or 204894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1020104034213 its reverse (3124304010201), we get a palindrome (4144408044414).

The spelling of 1020104034213 in words is "one trillion, twenty billion, one hundred four million, thirty-four thousand, two hundred thirteen".

Divisors: 1 3 11 33 121 363 14783 44349 162613 190097 487839 570291 1788743 2091067 5366229 6273201 23001737 69005211 2810203951 8430611853 30912243461 92736730383 340034678071 1020104034213