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11011100020002 = 23229414331188197
BaseRepresentation
bin1010000000111011100010…
…1101001000110100100010
31102222122120111022010012100
42200032320231020310202
52420401213101120002
635230232435311230
72214345215613555
oct240167055106442
942878514263170
1011011100020002
1135658659a2265
12129a03714b516
1361b45ac9b324
142a0d2384069c
15141655e0411c
hexa03b8b48d22

11011100020002 has 96 divisors (see below), whose sum is σ = 25340413578480. Its totient is φ = 3449380515840.

The previous prime is 11011100020001. The next prime is 11011100020099. The reversal of 11011100020002 is 20002000111011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 709754015961 + 10301346004041 = 842469^2 + 3209571^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11011100020001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8672968 + ... + 9861164.

Almost surely, 211011100020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011100020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12670206789240).

11011100020002 is an abundant number, since it is smaller than the sum of its proper divisors (14329313558478).

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

11011100020002 is a wasteful number, since it uses less digits than its factorization.

11011100020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188708 (or 1188705 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011100020002 its reverse (20002000111011), we get a palindrome (31013100131013).

The spelling of 11011100020002 in words is "eleven trillion, eleven billion, one hundred million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 433 522 738 866 1189 1299 2378 2598 3567 3897 7134 7794 10701 12557 17753 21402 25114 35506 37671 53259 75342 106518 113013 159777 226026 319554 514837 1029674 1188197 1544511 2376394 3089022 3564591 4633533 7129182 9267066 10693773 21387546 34457713 48716077 68915426 97432154 103373139 146148231 206746278 292296462 310119417 438444693 514489301 620238834 876889386 1028978602 1412766233 1543467903 2825532466 3086935806 4238298699 4630403709 8476597398 9260807418 12714896097 14920189729 21094061341 25429792194 29840379458 42188122682 44760569187 63282184023 89521138374 126564368046 134281707561 189846552069 268563415122 379693104138 611727778889 1223455557778 1835183336667 3670366673334 5505550010001 11011100020002