Search a number
-
+
1002021021008 = 247210112654337
BaseRepresentation
bin11101001010011010001…
…10110110010101010000
310112210101120022221002222
432211031012312111100
5112404114340133013
62044153324000212
7132252005101400
oct16451506662520
93483346287088
101002021021008
11356a5581a997
12142246990068
137364abc2c67
14366d8a14800
151b0e8dcc508
hexe94d1b6550

1002021021008 has 60 divisors (see below), whose sum is σ = 2280741955092. Its totient is φ = 425185689600.

The previous prime is 1002021021007. The next prime is 1002021021031. The reversal of 1002021021008 is 8001201202001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 876642709264 + 125378311744 = 936292^2 + 354088^2 .

It is a super-2 number, since 2×10020210210082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002021021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6247985 + ... + 6406352.

Almost surely, 21002021021008 is an apocalyptic number.

It is an amenable number.

1002021021008 is an abundant number, since it is smaller than the sum of its proper divisors (1278720934084).

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

1002021021008 is a wasteful number, since it uses less digits than its factorization.

1002021021008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654460 (or 12654447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1002021021008 its reverse (8001201202001), we get a palindrome (9003222223009).

The spelling of 1002021021008 in words is "one trillion, two billion, twenty-one million, twenty-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1414 1616 2828 4949 5656 9898 11312 19796 39592 79184 12654337 25308674 50617348 88580359 101234696 177160718 202469392 354321436 620062513 708642872 1240125026 1278088037 1417285744 2480250052 2556176074 4960500104 5112352148 8946616259 9921000208 10224704296 17893232518 20449408592 35786465036 62626313813 71572930072 125252627626 143145860144 250505255252 501010510504 1002021021008