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1020104144130 = 2352910710958257
BaseRepresentation
bin11101101100000101111…
…00011111010100000010
310121112001210220202121210
432312002330133110002
5113203133130103010
62100343540030550
7133462063105101
oct16660274372402
93545053822553
101020104144130
11363695216a45
12145852992456
1375270408306
14375324bc038
151b806704b20
hexed82f1f502

1020104144130 has 64 divisors (see below), whose sum is σ = 2556342426240. Its totient is φ = 260192830464.

The previous prime is 1020104144099. The next prime is 1020104144153. The reversal of 1020104144130 is 314414010201.

1020104144130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201041441302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020104144097 and 1020104144106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5386039 + ... + 5572218.

It is an arithmetic number, because the mean of its divisors is an integer number (39942850410).

Almost surely, 21020104144130 is an apocalyptic number.

1020104144130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020104144130 is an abundant number, since it is smaller than the sum of its proper divisors (1536238282110).

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

1020104144130 is a wasteful number, since it uses less digits than its factorization.

1020104144130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10958403.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1020104144130 its reverse (314414010201), we get a palindrome (1334518154331).

The spelling of 1020104144130 in words is "one trillion, twenty billion, one hundred four million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 107 145 174 214 290 321 435 535 642 870 1070 1605 3103 3210 6206 9309 15515 18618 31030 46545 93090 10958257 21916514 32874771 54791285 65749542 109582570 164373855 317789453 328747710 635578906 953368359 1172533499 1588947265 1906736718 2345066998 3177894530 3517600497 4766841795 5862667495 7035200994 9533683590 11725334990 17588002485 34003471471 35176004970 68006942942 102010414413 170017357355 204020828826 340034714710 510052072065 1020104144130