Search a number
-
+
11122222013010 = 2335611201562283
BaseRepresentation
bin1010000111011001100000…
…0101111001101001010010
31110101021101202221020122000
42201312120011321221102
52424211302313404020
635353251145254430
72225361013146633
oct241663005715122
943337352836560
1011122222013010
1135a89a9409319
1212b7689794416
13628a89a79504
142a6465a4988a
151444ab779090
hexa1d98179a52

11122222013010 has 128 divisors (see below), whose sum is σ = 30170630027520. Its totient is φ = 2914869888000.

The previous prime is 11122222012999. The next prime is 11122222013033. The reversal of 11122222013010 is 1031022222111.

It is a super-3 number, since 3×111222220130103 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19499329 + ... + 20061611.

It is an arithmetic number, because the mean of its divisors is an integer number (235708047090).

Almost surely, 211122222013010 is an apocalyptic number.

11122222013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122222013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085315013760).

11122222013010 is an abundant number, since it is smaller than the sum of its proper divisors (19048408014510).

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

11122222013010 is a wasteful number, since it uses less digits than its factorization.

11122222013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563561 (or 563555 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11122222013010 its reverse (1031022222111), we get a palindrome (12153244235121).

The spelling of 11122222013010 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-two million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1201 1647 1830 2402 2745 3294 3603 5490 6005 7206 8235 10809 12010 16470 18015 21618 32427 36030 54045 64854 73261 108090 146522 162135 219783 324270 366305 439566 562283 659349 732610 1098915 1124566 1318698 1686849 1978047 2197830 2811415 3296745 3373698 3956094 5060547 5622830 6593490 8434245 9890235 10121094 15181641 16868490 19780470 25302735 30363282 34299263 50605470 68598526 75908205 102897789 151816410 171496315 205795578 308693367 342992630 514488945 617386734 675301883 926080101 1028977890 1350603766 1543466835 1852160202 2025905649 3086933670 3376509415 4051811298 4630400505 6077716947 6753018830 9260801010 10129528245 12155433894 18233150841 20259056490 30388584735 36466301682 41193414863 60777169470 82386829726 91165754205 123580244589 182331508410 205967074315 247160489178 370740733767 411934148630 617901222945 741481467534 1112222201301 1235802445890 1853703668835 2224444402602 3707407337670 5561111006505 11122222013010