Search a number
-
+
10021001012002 = 2232101509184241
BaseRepresentation
bin1001000111010011001000…
…1101001010001100100010
31022110222221210100012101201
42101310302031022030202
52303141002224341002
633151330113351414
72052664514115451
oct221646215121442
938428853305351
1010021001012002
113213978908192
12115a178b6856a
13578c90035b46
1426903a346b98
15125a089e0087
hex91d3234a322

10021001012002 has 48 divisors (see below), whose sum is σ = 15900302005560. Its totient is φ = 4735852352000.

The previous prime is 10021001011999. The next prime is 10021001012041. The reversal of 10021001012002 is 20021010012001.

It can be written as a sum of positive squares in 4 ways, for example, as 9882906276681 + 138094735321 = 3143709^2 + 371611^2 .

It is a super-2 number, since 2×100210010120022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10021001012002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54298602 + ... + 54482842.

Almost surely, 210021001012002 is an apocalyptic number.

10021001012002 is a deficient number, since it is larger than the sum of its proper divisors (5879300993558).

10021001012002 is a wasteful number, since it uses less digits than its factorization.

10021001012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184899 (or 184876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10021001012002 its reverse (20021010012001), we get a palindrome (30042011024003).

It can be divided in two parts, 1002100 and 1012002, that added together give a palindrome (2014102).

The spelling of 10021001012002 in words is "ten trillion, twenty-one billion, one million, twelve thousand, two".

Divisors: 1 2 23 46 101 202 509 529 1018 1058 2323 4646 11707 23414 51409 53429 102818 106858 184241 269261 368482 538522 1182407 2364814 4237543 8475086 18608341 27195361 37216682 54390722 93778669 97463489 187557338 194926978 427991843 855983686 2156909387 4313818774 9471645569 9843812389 18943291138 19687624778 49608915901 99217831802 217847848087 435695696174 5010500506001 10021001012002