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11012211000312 = 23319107225697061
BaseRepresentation
bin1010000000111111101011…
…1011001100001111111000
31102222202102220210202200020
42200033322323030033320
52420411002004002222
635230535003410440
72214414566031324
oct240177273141770
942882386722606
1011012211000312
113566286027205
12129a2a7223a20
1361b5a71c4b22
142a0dcb1da984
151416bd70865c
hexa03faecc3f8

11012211000312 has 64 divisors (see below), whose sum is σ = 29250339235200. Its totient is φ = 3445039923840.

The previous prime is 11012211000209. The next prime is 11012211000317. The reversal of 11012211000312 is 21300011221011.

It is a super-2 number, since 2×110122110003122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11012211000291 and 11012211000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012211000317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112799739 + ... + 112897322.

It is an arithmetic number, because the mean of its divisors is an integer number (457036550550).

Almost surely, 211012211000312 is an apocalyptic number.

11012211000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11012211000312 is an abundant number, since it is smaller than the sum of its proper divisors (18238128234888).

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

11012211000312 is a wasteful number, since it uses less digits than its factorization.

11012211000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225697196 (or 225697192 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11012211000312 its reverse (21300011221011), we get a palindrome (32312222221323).

The spelling of 11012211000312 in words is "eleven trillion, twelve billion, two hundred eleven million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1284 2033 2568 4066 6099 8132 12198 16264 24396 48792 225697061 451394122 677091183 902788244 1354182366 1805576488 2708364732 4288244159 5416729464 8576488318 12864732477 17152976636 24149585527 25729464954 34305953272 48299171054 51458929908 72448756581 96598342108 102917859816 144897513162 193196684216 289795026324 458842125013 579590052648 917684250026 1376526375039 1835368500052 2753052750078 3670737000104 5506105500156 11012211000312