Search a number
-
+
1141323212190 = 235753102544763
BaseRepresentation
bin10000100110111100001…
…010100010010110011110
311001002221202222110010010
4100212330022202112132
5122144412220242230
62232152221224050
7145313024143560
oct20467412422636
94032852873103
101141323212190
1140003a220a27
12165242a02026
138381b032015
143d3516b9330
151ea4d7109b0
hex109bc2a259e

1141323212190 has 64 divisors (see below), whose sum is σ = 3189552339456. Its totient is φ = 255951725952.

The previous prime is 1141323212171. The next prime is 1141323212191. The reversal of 1141323212190 is 912123231411.

It is a super-2 number, since 2×11413232121902 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141323212191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51261252 + ... + 51283511.

It is an arithmetic number, because the mean of its divisors is an integer number (49836755304).

Almost surely, 21141323212190 is an apocalyptic number.

1141323212190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1141323212190 is an abundant number, since it is smaller than the sum of its proper divisors (2048229127266).

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

1141323212190 is a wasteful number, since it uses less digits than its factorization.

1141323212190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102544833.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 1141323212190 in words is "one trillion, one hundred forty-one billion, three hundred twenty-three million, two hundred twelve thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 11130 102544763 205089526 307634289 512723815 615268578 717813341 1025447630 1435626682 1538171445 2153440023 3076342890 3589066705 4306880046 5434872439 7178133410 10767200115 10869744878 16304617317 21534400230 27174362195 32609234634 38044107073 54348724390 76088214146 81523086585 114132321219 163046173170 190220535365 228264642438 380441070730 570661606095 1141323212190