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1004024120130 = 2325157564712583
BaseRepresentation
bin11101001110001001000…
…00000100001101000010
310112222120011111220112100
432213010200010031002
5112422220133321010
62045124201211230
7132352440131463
oct16470440041502
93488504456470
101004024120130
11357893493a09
12142705790b16
13738a9bb3b05
1436848a78d6a
151b1b4ba32c0
hexe9c4804342

1004024120130 has 96 divisors (see below), whose sum is σ = 2627763899904. Its totient is φ = 265966167168.

The previous prime is 1004024120123. The next prime is 1004024120153. The reversal of 1004024120130 is 310214204001.

1004024120130 is a `hidden beast` number, since 10 + 0 + 402 + 4 + 120 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79785819 + ... + 79798401.

It is an arithmetic number, because the mean of its divisors is an integer number (27372540624).

Almost surely, 21004024120130 is an apocalyptic number.

1004024120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004024120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313881949952).

1004024120130 is an abundant number, since it is smaller than the sum of its proper divisors (1623739779774).

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

1004024120130 is a wasteful number, since it uses less digits than its factorization.

1004024120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18400 (or 18397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004024120130 its reverse (310214204001), we get a palindrome (1314238324131).

The spelling of 1004024120130 in words is "one trillion, four billion, twenty-four million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 5647 7065 11294 12583 14130 16941 25166 28235 33882 37749 50823 56470 62915 75498 84705 101646 113247 125830 169410 188745 226494 254115 377490 508230 566235 886579 1132470 1773158 1975531 2659737 3951062 4432895 5319474 5926593 7979211 8865790 9877655 11853186 13298685 15958422 17779779 19755310 26597370 29632965 35559558 39896055 59265930 71056201 79792110 88898895 142112402 177797790 213168603 355281005 426337206 639505809 710562010 1065843015 1279011618 2131686030 3197529045 6395058090 11155823557 22311647114 33467470671 55779117785 66934941342 100402412013 111558235570 167337353355 200804824026 334674706710 502012060065 1004024120130