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11012210002002 = 231110727130718743
BaseRepresentation
bin1010000000111111101011…
…0111011000100001010010
31102222202102211221001020210
42200033322313120201102
52420411001230031002
635230534530144550
72214414554402646
oct240177267304122
942882384831223
1011012210002002
113566285505160
12129a2a6a22156
1361b5a6c35601
142a0dcb01ac26
151416bd5ac96c
hexa03fadd8852

11012210002002 has 128 divisors (see below), whose sum is σ = 24421264293888. Its totient is φ = 3282743764800.

The previous prime is 11012210001907. The next prime is 11012210002009. The reversal of 11012210002002 is 20020001221011.

It is not an unprimeable number, because it can be changed into a prime (11012210002009) 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, 587527843 + ... + 587546585.

It is an arithmetic number, because the mean of its divisors is an integer number (190791127296).

Almost surely, 211012210002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012210002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12210632146944).

11012210002002 is an abundant number, since it is smaller than the sum of its proper divisors (13409054291886).

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

11012210002002 is a wasteful number, since it uses less digits than its factorization.

11012210002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19444.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012210002002 its reverse (20020001221011), we get a palindrome (31032211223013).

The spelling of 11012210002002 in words is "eleven trillion, twelve billion, two hundred ten million, two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 107 214 271 307 321 542 614 642 813 921 1177 1626 1842 2354 2981 3377 3531 5962 6754 7062 8943 10131 17886 18743 20262 28997 32849 37486 56229 57994 65698 83197 86991 98547 112458 166394 173982 197094 206173 249591 318967 361339 412346 499182 618519 637934 722678 915167 956901 1084017 1237038 1830334 1913802 2005501 2168034 2745501 4011002 5079353 5491002 5754101 6016503 8902079 10158706 11508202 12033006 15238059 17262303 17804158 22060511 26706237 30476118 34524606 44121022 53412474 55872883 63295111 66181533 97922869 111745766 126590222 132363066 167618649 189885333 195845738 293768607 335237298 379770666 543490771 587537214 615688807 1086981542 1231377614 1559361371 1630472313 1847066421 3118722742 3260944626 3694132842 4678084113 5978398481 6772576877 9356168226 11956796962 13545153754 17152975081 17935195443 20317730631 34305950162 35870390886 40635461262 51458925243 102917850486 166851666697 333703333394 500555000091 1001110000182 1835368333667 3670736667334 5506105001001 11012210002002