Search a number
-
+
112131421412140 = 225131769973625711
BaseRepresentation
bin11001011111101110100001…
…100010101001101100101100
3112201000122210112222002121001
4121133232201202221230230
5104144130122340142030
61034252244105450044
732422141103554654
oct3137564142515454
9481018715862531
10112131421412140
113280173a144089
12106ab9a21a0924
134a74c42044c10
141d99292983364
15ce6be0227cca
hex65fba18a9b2c

112131421412140 has 96 divisors (see below), whose sum is σ = 268545001584384. Its totient is φ = 38961357557760.

The previous prime is 112131421412117. The next prime is 112131421412149. The reversal of 112131421412140 is 41214124131211.

It is a junction number, because it is equal to n+sod(n) for n = 112131421412099 and 112131421412108.

It is not an unprimeable number, because it can be changed into a prime (112131421412149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29113885 + ... + 32739595.

It is an arithmetic number, because the mean of its divisors is an integer number (2797343766504).

Almost surely, 2112131421412140 is an apocalyptic number.

112131421412140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112131421412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134272500792192).

112131421412140 is an abundant number, since it is smaller than the sum of its proper divisors (156413580172244).

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

112131421412140 is a wasteful number, since it uses less digits than its factorization.

112131421412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632747 (or 3632745 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 112131421412140 its reverse (41214124131211), we get a palindrome (153345545543351).

The spelling of 112131421412140 in words is "one hundred twelve trillion, one hundred thirty-one billion, four hundred twenty-one million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 6997 13994 27988 34985 69970 90961 118949 139940 181922 237898 363844 454805 475796 594745 909610 1189490 1546337 1819220 2378980 3092674 3625711 6185348 7251422 7731685 14502844 15463370 18128555 30926740 36257110 47134243 61637087 72514220 94268486 123274174 188536972 235671215 246548348 308185435 471342430 616370870 801282131 942684860 1232741740 1602564262 3205128524 4006410655 8012821310 16025642620 25369099867 50738199734 101476399468 126845499335 253690998670 329798298271 431274697739 507381997340 659596596542 862549395478 1319193193084 1648991491355 1725098790956 2156373488695 3297982982710 4312746977390 5606571070607 6595965965420 8625493954780 11213142141214 22426284282428 28032855353035 56065710706070 112131421412140