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1601214071112 = 23343798367939
BaseRepresentation
bin10111010011001111110…
…010111100000101001000
312200002000100202200110000
4113103033302330011020
5202213241300233422
63223330530323000
7223453402015665
oct27231762740510
95602010680400
101601214071112
11568086666047
1221a3ab429460
13b7cbc606106
14576dba40a6c
152b9b7e9dcac
hex174cfcbc148

1601214071112 has 160 divisors (see below), whose sum is σ = 4610848651200. Its totient is φ = 518776742016.

The previous prime is 1601214071089. The next prime is 1601214071113. The reversal of 1601214071112 is 2111704121061.

1601214071112 is a `hidden beast` number, since 1 + 601 + 2 + 1 + 40 + 7 + 1 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1601214071113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23534439 + ... + 23602377.

It is an arithmetic number, because the mean of its divisors is an integer number (28817804070).

Almost surely, 21601214071112 is an apocalyptic number.

1601214071112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1601214071112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305424325600).

1601214071112 is an abundant number, since it is smaller than the sum of its proper divisors (3009634580088).

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

1601214071112 is a wasteful number, since it uses less digits than its factorization.

1601214071112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68977 (or 68964 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 1601214071112 its reverse (2111704121061), we get a palindrome (3712918192173).

The spelling of 1601214071112 in words is "one trillion, six hundred one billion, two hundred fourteen million, seventy-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 983 999 1332 1966 1998 2664 2949 2997 3932 3996 5898 5994 7864 7992 8847 11796 11988 17694 23592 23976 26541 35388 36371 53082 67939 70776 72742 79623 106164 109113 135878 145484 159246 203817 212328 218226 271756 290968 318492 327339 407634 436452 543512 611451 636984 654678 815268 872904 982017 1222902 1309356 1630536 1834353 1964034 2445804 2513743 2618712 2946051 3668706 3928068 4891608 5027486 5503059 5892102 7337412 7541229 7856136 10054972 11006118 11784204 14674824 15082458 20109944 22012236 22623687 23568408 30164916 44024472 45247374 60329832 66784037 67871061 90494748 133568074 135742122 180989496 200352111 203613183 267136148 271484244 400704222 407226366 534272296 542968488 601056333 801408444 814452732 1202112666 1602816888 1628905464 1803168999 2404225332 2471009369 3606337998 4808450664 4942018738 5409506997 7212675996 7413028107 9884037476 10819013994 14425351992 14826056214 19768074952 21638027988 22239084321 29652112428 43276055976 44478168642 59304224856 66717252963 88956337284 133434505926 177912674568 200151758889 266869011852 400303517778 533738023704 800607035556 1601214071112