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11011121021012 = 22717432293234613
BaseRepresentation
bin1010000000111011100111…
…1101010000000001010100
31102222122121221211002011112
42200032321331100001110
52420401233440133022
635230234505354152
72214345562252160
oct240167175200124
942878557732145
1011011121021012
113565876836672
12129a042198958
1361b462442268
142a0d26549ca0
15141657ba18e2
hexa03b9f50054

11011121021012 has 96 divisors (see below), whose sum is σ = 23870446693632. Its totient is φ = 4336260397056.

The previous prime is 11011121020997. The next prime is 11011121021039. The reversal of 11011121021012 is 21012012111011.

It is a super-2 number, since 2×110111210210122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46815818 + ... + 47050430.

It is an arithmetic number, because the mean of its divisors is an integer number (248650486392).

Almost surely, 211011121021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011121021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935223346816).

11011121021012 is an abundant number, since it is smaller than the sum of its proper divisors (12859325672620).

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

11011121021012 is a wasteful number, since it uses less digits than its factorization.

11011121021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236977 (or 236975 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011121021012 its reverse (21012012111011), we get a palindrome (32023133132023).

The spelling of 11011121021012 in words is "eleven trillion, eleven billion, one hundred twenty-one million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 301 476 602 731 1204 1462 2293 2924 4586 5117 9172 10234 16051 20468 32102 38981 64204 77962 98599 155924 197198 234613 272867 394396 469226 545734 690193 938452 1091468 1380386 1642291 1676183 2760772 3284582 3352366 3988421 6569164 6704732 7976842 10088359 11733281 15953684 20176718 23466562 27918947 40353436 46933124 55837894 70618513 111675788 141237026 171502103 282474052 343004206 537967609 686008412 1075935218 1200514721 2151870436 2401029442 3765773263 4802058884 7531546526 9145449353 15063093052 18290898706 23132607187 36581797412 46265214374 64018145471 92530428748 128036290942 161928250309 256072581884 323856500618 393254322179 647713001236 786508644358 1573017288716 2752780255253 5505560510506 11011121021012