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130412123410002 = 237233409362351
BaseRepresentation
bin11101101001101111110000…
…010010100100111001010010
3122002202021111002220200210220
4131221233300102210321102
5114043133012043110002
61141210300304533510
736316651663662240
oct3551576022447122
9562667432820726
10130412123410002
113860a51a911a35
12127628b0321296
13579ca6c7a70c5
14242bda2505790
1510124ba48d7bc
hex769bf04a4e52

130412123410002 has 128 divisors (see below), whose sum is σ = 311714188738560. Its totient is φ = 35631301147200.

The previous prime is 130412123409989. The next prime is 130412123410027. The reversal of 130412123410002 is 200014321214031.

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, 2091549127 + ... + 2091611477.

It is an arithmetic number, because the mean of its divisors is an integer number (2435267099520).

Almost surely, 2130412123410002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130412123410002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155857094369280).

130412123410002 is an abundant number, since it is smaller than the sum of its proper divisors (181302065328558).

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

130412123410002 is an equidigital number, since it uses as much as digits as its factorization.

130412123410002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66525 (or 66479 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130412123410002 its reverse (200014321214031), we get a palindrome (330426444624033).

The spelling of 130412123410002 in words is "one hundred thirty trillion, four hundred twelve billion, one hundred twenty-three million, four hundred ten thousand, two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 529 966 1058 1587 3174 3703 4093 7406 8186 11109 12167 12279 22218 24334 24558 28651 36501 57302 62351 73002 85169 85953 94139 124702 170338 171906 187053 188278 255507 282417 374106 436457 511014 564834 658973 872914 1309371 1317946 1434073 1976919 2165197 2618742 2868146 3953838 4302219 4330394 6495591 8604438 10038511 12991182 15156379 20077022 30115533 30312758 32983679 45469137 49799531 60231066 65967358 90938274 98951037 99599062 149398593 197902074 230885753 255202643 298797186 348596717 461771506 510405286 692657259 697193434 758624617 765607929 1045790151 1385314518 1517249234 1531215858 1786418501 2091580302 2275873851 3572837002 4551747702 5310372319 5359255503 5869660789 10620744638 10718511006 11739321578 15931116957 17608982367 31862233914 35217964734 41087625523 82175251046 123262876569 135002198147 246525753138 270004396294 405006594441 810013188882 945015387029 1890030774058 2835046161087 3105050557381 5670092322174 6210101114762 9315151672143 18630303344286 21735353901667 43470707803334 65206061705001 130412123410002