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1022100202002 = 2311181277499619
BaseRepresentation
bin11101101111110011110…
…10110110001000010010
310121201012220212000021010
432313321322312020102
5113221230122431002
62101314002311350
7133562411240565
oct16677172661022
93551186760233
101022100202002
11364519a10850
1214610b358556
13754cab02249
143768162c4dc
151b8c1a8946c
hexedf9eb6212

1022100202002 has 128 divisors (see below), whose sum is σ = 2258605440000. Its totient is φ = 305794310400.

The previous prime is 1022100201923. The next prime is 1022100202093. The reversal of 1022100202002 is 2002020012201.

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, 1651211649 + ... + 1651212267.

It is an arithmetic number, because the mean of its divisors is an integer number (17645355000).

Almost surely, 21022100202002 is an apocalyptic number.

1022100202002 is an abundant number, since it is smaller than the sum of its proper divisors (1236505237998).

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

1022100202002 is a wasteful number, since it uses less digits than its factorization.

1022100202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022100202002 its reverse (2002020012201), we get a palindrome (3024120214203).

The spelling of 1022100202002 in words is "one trillion, twenty-two billion, one hundred million, two hundred two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 181 277 362 499 543 554 619 831 998 1086 1238 1497 1662 1857 1991 2994 3047 3714 3982 5489 5973 6094 6809 9141 10978 11946 13618 16467 18282 20427 32934 40854 50137 90319 100274 112039 138223 150411 171463 180638 224078 270957 276446 300822 308881 336117 342926 414669 514389 541914 551507 617762 672234 829338 926643 993509 1028778 1103014 1232429 1520453 1654521 1853286 1886093 1987018 2464858 2980527 3040906 3309042 3397691 3697287 3772186 4561359 5658279 5961054 6795382 7394574 9122718 10193073 11316558 20386146 25018363 31034803 50036726 55907461 62069606 75055089 85560037 93104409 111814922 150110178 167722383 171120074 186208818 256680111 275201993 335444766 341382833 513360222 550403986 614982071 682765666 825605979 941160407 1024148499 1229964142 1651211958 1844946213 1882320814 2048296998 2823481221 3689892426 5646962442 15486366697 30972733394 46459100091 92918200182 170350033667 340700067334 511050101001 1022100202002