Search a number
-
+
11027155320 = 233551134481
BaseRepresentation
bin10100100010100010…
…10000100101111000
31001110111112112100000
422101101100211320
5140040422432240
65022114113000
7540156162606
oct122121204570
931414475300
1011027155320
1147495a6005
122178b7b760
13106974489c
1476873c876
15448155430
hex291450978

11027155320 has 96 divisors (see below), whose sum is σ = 37165630320. Its totient is φ = 2940572160.

The previous prime is 11027155309. The next prime is 11027155331. The reversal of 11027155320 is 2355172011.

11027155320 is a `hidden beast` number, since 1 + 102 + 7 + 1 + 553 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11027155309) and next prime (11027155331).

It is a super-4 number, since 4×110271553204 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557521 + ... + 576960.

Almost surely, 211027155320 is an apocalyptic number.

11027155320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11027155320 is an abundant number, since it is smaller than the sum of its proper divisors (26138475000).

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

11027155320 is a wasteful number, since it uses less digits than its factorization.

11027155320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134507 (or 1134491 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 11027155320 in words is "eleven billion, twenty-seven million, one hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 1134481 2268962 3403443 4537924 5672405 6806886 9075848 10210329 11344810 13613772 17017215 20420658 22689620 27227544 30630987 34034430 40841316 45379240 51051645 61261974 68068860 81682632 91892961 102103290 122523948 136137720 153154935 183785922 204206580 245047896 275678883 306309870 367571844 408413160 459464805 551357766 612619740 735143688 918929610 1102715532 1225239480 1378394415 1837859220 2205431064 2756788830 3675718440 5513577660 11027155320