Search a number
-
+
141101211232212 = 223711152706938563
BaseRepresentation
bin100000000101010010101111…
…100100101010011111010100
3200111121010220000110021120020
4200011102233210222133110
5121443300240033412322
61220033000201305140
741502140360232630
oct4005225744523724
9614533800407506
10141101211232212
1140a6076226a9a0
12139aa43a1951b0
136096a3041380a
1426bb4995a9dc0
15114a57649605c
hex8054af92a7d4

141101211232212 has 48 divisors (see below), whose sum is σ = 410476250860032. Its totient is φ = 36649665254880.

The previous prime is 141101211232199. The next prime is 141101211232213. The reversal of 141101211232212 is 212232112101141.

It is a super-2 number, since 2×1411012112322122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141101211232213) 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, 76353468358 + ... + 76353470205.

It is an arithmetic number, because the mean of its divisors is an integer number (8551588559584).

Almost surely, 2141101211232212 is an apocalyptic number.

141101211232212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141101211232212 is an abundant number, since it is smaller than the sum of its proper divisors (269375039627820).

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

141101211232212 is a wasteful number, since it uses less digits than its factorization.

141101211232212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152706938588 (or 152706938586 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 141101211232212 its reverse (212232112101141), we get a palindrome (353333323333353).

The spelling of 141101211232212 in words is "one hundred forty-one trillion, one hundred one billion, two hundred eleven million, two hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 152706938563 305413877126 458120815689 610827754252 916241631378 1068948569941 1679776324193 1832483262756 2137897139882 3206845709823 3359552648386 4275794279764 5039328972579 6413691419646 6719105296772 10078657945158 11758434269351 12827382839292 20157315890316 23516868538702 35275302808053 47033737077404 70550605616106 141101211232212