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2012134023030 = 2353167241133993
BaseRepresentation
bin11101010001111100100…
…010001001111101110110
321010100200002011002100110
4131101330202021331312
5230431322302214110
64140210035123450
7265241361666345
oct35217442117566
97110602132313
102012134023030
1170638322199a
12285b6b743586
131179883c2861
146d5601d7b5c
15375183c3a20
hex1d47c889f76

2012134023030 has 128 divisors (see below), whose sum is σ = 5080332128256. Its totient is φ = 509383987200.

The previous prime is 2012134023017. The next prime is 2012134023059. The reversal of 2012134023030 is 303204312102.

It is a junction number, because it is equal to n+sod(n) for n = 2012134022988 and 2012134023006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14949714 + ... + 15083706.

It is an arithmetic number, because the mean of its divisors is an integer number (39690094752).

Almost surely, 22012134023030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012134023030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540166064128).

2012134023030 is an abundant number, since it is smaller than the sum of its proper divisors (3068198105226).

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

2012134023030 is a wasteful number, since it uses less digits than its factorization.

2012134023030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134342.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2012134023030 its reverse (303204312102), we get a palindrome (2315338335132).

The spelling of 2012134023030 in words is "two trillion, twelve billion, one hundred thirty-four million, twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 93 134 155 186 201 241 310 335 402 465 482 670 723 930 1005 1205 1446 2010 2077 2410 3615 4154 6231 7230 7471 10385 12462 14942 16147 20770 22413 31155 32294 37355 44826 48441 62310 74710 80735 96882 112065 133993 161470 224130 242205 267986 401979 484410 500557 669965 803958 1001114 1339930 1501671 2009895 2502785 3003342 4019790 4153783 5005570 7508355 8307566 8977531 12461349 15016710 17955062 20768915 24922698 26932593 32292313 41537830 44887655 53865186 62306745 64584626 89775310 96876939 124613490 134662965 161461565 193753878 269325930 278303461 322923130 484384695 556606922 834910383 968769390 1001061703 1391517305 1669820766 2002123406 2163584971 2783034610 3003185109 4174551915 4327169942 5005308515 6006370218 6490754913 8349103830 10010617030 10817924855 12981509826 15015925545 21635849710 30031851090 32453774565 64907549130 67071134101 134142268202 201213402303 335355670505 402426804606 670711341010 1006067011515 2012134023030