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1001120111002 = 21119293283347
BaseRepresentation
bin11101001000101110110…
…10001001100110011010
310112201001210002221220201
432210113122021212122
5112400243222023002
62043524102212414
7132220455352534
oct16442732114632
93481053087821
101001120111002
11356633226970
1214203512410a
137353636b30b
14366510dc854
151b094c71087
hexe91768999a

1001120111002 has 128 divisors (see below), whose sum is σ = 1797477350400. Its totient is φ = 413572582080.

The previous prime is 1001120110987. The next prime is 1001120111009. The reversal of 1001120111002 is 2001110211001.

1001120111002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1001120111002.

It is not an unprimeable number, because it can be changed into a prime (1001120111009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2885072193 + ... + 2885072539.

It is an arithmetic number, because the mean of its divisors is an integer number (14042791800).

Almost surely, 21001120111002 is an apocalyptic number.

1001120111002 is a deficient number, since it is larger than the sum of its proper divisors (796357239398).

1001120111002 is a wasteful number, since it uses less digits than its factorization.

1001120111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001120111002 its reverse (2001110211001), we get a palindrome (3002230322003).

Subtracting 1001120111002 from its reverse (2001110211001), we obtain a palindrome (999990099999).

The spelling of 1001120111002 in words is "one trillion, one billion, one hundred twenty million, one hundred eleven thousand, two".

Divisors: 1 2 11 19 22 29 38 58 209 283 319 347 418 551 566 638 694 841 1102 1682 3113 3817 5377 6061 6226 6593 7634 8207 9251 10063 10754 12122 13186 15979 16414 18502 20126 24389 31958 48778 59147 72523 90277 98201 110693 118294 145046 155933 175769 180554 191197 196402 221386 238003 268279 291827 311866 351538 382394 463391 476006 536558 583654 926782 1080211 1715263 1865819 2103167 2160422 2618033 2847829 3210097 3430526 3731638 4206334 4522057 5097301 5236066 5544713 5695658 6420194 6902087 8462983 9044114 10194602 11089426 13804174 16925966 20524009 31326119 41048018 49742627 54108751 60991843 62652238 75922957 82587041 93092813 99485254 108217502 121983686 131139653 151845914 160796677 165174082 186185626 262279306 321593354 595196261 908457451 1190392522 1442536183 1569153779 1768763447 1816914902 2395024189 2885072366 3138307558 3537526894 4790048378 17260691569 26345266079 34521383138 45505459591 52690532158 91010919182 500560055501 1001120111002