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1002001021112 = 2371317194261223
BaseRepresentation
bin11101001010010111110…
…10100011100010111000
310112210100011200211102002
432211023322203202320
5112404044230133422
62044151331200132
7132251343102560
oct16451372434270
93483304624362
101002001021112
11356a454aa753
12142240146048
1373646a0c8c0
14366d60c9da0
151b0e727b692
hexe94bea38b8

1002001021112 has 128 divisors (see below), whose sum is σ = 2577188275200. Its totient is φ = 353442797568.

The previous prime is 1002001021081. The next prime is 1002001021117. The reversal of 1002001021112 is 2111201002001.

It is a junction number, because it is equal to n+sod(n) for n = 1002001021093 and 1002001021102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001021117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1895468 + ... + 2365755.

It is an arithmetic number, because the mean of its divisors is an integer number (20134283400).

Almost surely, 21002001021112 is an apocalyptic number.

It is an amenable number.

1002001021112 is an abundant number, since it is smaller than the sum of its proper divisors (1575187254088).

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

1002001021112 is a wasteful number, since it uses less digits than its factorization.

1002001021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261285 (or 4261281 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002001021112 its reverse (2111201002001), we get a palindrome (3113202023113).

The spelling of 1002001021112 in words is "one trillion, two billion, one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 17 19 26 28 34 38 52 56 68 76 91 104 119 133 136 152 182 221 238 247 266 323 364 442 476 494 532 646 728 884 952 988 1064 1292 1547 1729 1768 1976 2261 2584 3094 3458 4199 4522 6188 6916 8398 9044 12376 13832 16796 18088 29393 33592 58786 117572 235144 4261223 8522446 17044892 29828561 34089784 55395899 59657122 72440791 80963237 110791798 119314244 144881582 161926474 221583596 238628488 289763164 323852948 387771293 443167192 507085537 566742659 579526328 647705896 775542586 941730283 1014171074 1052522081 1133485318 1376375029 1551085172 1883460566 2028342148 2105044162 2266970636 2752750058 3102170344 3766921132 4056684296 4210088324 4533941272 5505500116 6592111981 7367654567 7533842264 8420176648 9634625203 11011000232 13184223962 14735309134 17892875377 19269250406 26368447924 29470618268 35785750754 38538500812 52736895848 58941236536 71571501508 77077001624 125250127639 143143003016 250500255278 501000510556 1002001021112