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130041002130 = 235131946737579
BaseRepresentation
bin111100100011100001…
…1000011100010010010
3110102122210002100222020
41321013003003202102
54112310444032010
6135423501552310
712252352165044
oct1710703034222
9412583070866
10130041002130
1150171834696
1221252575696
13c35552c550
146418adda94
1535b1762470
hex1e470c3892

130041002130 has 128 divisors (see below), whose sum is σ = 354562790400. Its totient is φ = 30259609344.

The previous prime is 130041002101. The next prime is 130041002327. The reversal of 130041002130 is 31200140031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3441681 + ... + 3479259.

It is an arithmetic number, because the mean of its divisors is an integer number (2770021800).

Almost surely, 2130041002130 is an apocalyptic number.

130041002130 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 130041002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177281395200).

130041002130 is an abundant number, since it is smaller than the sum of its proper divisors (224521788270).

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

130041002130 is a wasteful number, since it uses less digits than its factorization.

130041002130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38088.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130041002130 its reverse (31200140031), we get a palindrome (161241142161).

The spelling of 130041002130 in words is "one hundred thirty billion, forty-one million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 467 494 570 741 934 1235 1401 1482 2335 2470 2802 3705 4670 6071 7005 7410 8873 12142 14010 17746 18213 26619 30355 36426 37579 44365 53238 60710 75158 88730 91065 112737 115349 133095 182130 187895 225474 230698 266190 346047 375790 488527 563685 576745 692094 714001 977054 1127370 1153490 1428002 1465581 1730235 2142003 2442635 2931162 3460470 3570005 4284006 4885270 7140010 7327905 9282013 10710015 14655810 17549393 18564026 21420030 27846039 35098786 46410065 52648179 55692078 87746965 92820130 105296358 139230195 175493930 228142109 263240895 278460390 333438467 456284218 526481790 666876934 684426327 1000315401 1140710545 1368852654 1667192335 2000630802 2281421090 3334384670 3422131635 4334700071 5001577005 6844263270 8669400142 10003154010 13004100213 21673500355 26008200426 43347000710 65020501065 130041002130