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10130342330130 = 23511443607114161
BaseRepresentation
bin1001001101101010011101…
…1101001011111100010010
31022212110011222022200002220
42103122213131023330102
52311433420114031010
633313452013321510
72063615220022551
oct223324735137422
938773158280086
1010130342330130
113256288169910
1211773b3196296
13586396c2c159
1427044dc69d98
151287a7d77970
hex936a774bf12

10130342330130 has 128 divisors (see below), whose sum is σ = 26626976833536. Its totient is φ = 2446238745600.

The previous prime is 10130342330123. The next prime is 10130342330191. The reversal of 10130342330130 is 3103324303101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10130342330130.

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, 88680250 + ... + 88794410.

It is an arithmetic number, because the mean of its divisors is an integer number (208023256512).

Almost surely, 210130342330130 is an apocalyptic number.

10130342330130 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 10130342330130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313488416768).

10130342330130 is an abundant number, since it is smaller than the sum of its proper divisors (16496634503406).

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

10130342330130 is a wasteful number, since it uses less digits than its factorization.

10130342330130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115232.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10130342330130 its reverse (3103324303101), we get a palindrome (13233666633231).

The spelling of 10130342330130 in words is "ten trillion, one hundred thirty billion, three hundred forty-two million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 443 607 886 1214 1329 1821 2215 2658 3035 3642 4430 4873 6070 6645 6677 9105 9746 13290 13354 14619 18210 20031 24365 29238 33385 40062 48730 66770 73095 100155 114161 146190 200310 228322 268901 342483 537802 570805 684966 806703 1141610 1255771 1344505 1613406 1712415 2511542 2689010 2957911 3424830 3767313 4033515 5915822 6278855 7534626 8067030 8873733 12557710 14789555 17747466 18836565 29579110 37673130 44368665 50573323 69295727 88737330 101146646 138591454 151719969 207887181 252866615 303439938 346478635 415774362 505733230 556306553 692957270 758599845 762252997 1039435905 1112613106 1517199690 1524505994 1668919659 2078871810 2286758991 2781532765 3337839318 3811264985 4573517982 5563065530 7622529970 8344598295 11433794955 16689196590 22867589910 30698007061 61396014122 92094021183 153490035305 184188042366 306980070610 337678077671 460470105915 675356155342 920940211830 1013034233013 1688390388355 2026068466026 3376780776710 5065171165065 10130342330130