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1143320220042 = 23711131371389511
BaseRepresentation
bin10000101000110011001…
…100100001000110001010
311001022002221200221212220
4100220303030201012022
5122213004434020132
62233122320114510
7145413353344110
oct20506314410612
94038087627786
101143320220042
11400974504540
121656bb765a36
1383a7899c480
143d4a09d5ab0
151eb18bd1a2c
hex10a3332118a

1143320220042 has 128 divisors (see below), whose sum is σ = 3092586835968. Its totient is φ = 272121638400.

The previous prime is 1143320220041. The next prime is 1143320220059. The reversal of 1143320220042 is 2400220233411.

It is a happy number.

It is a super-2 number, since 2×11433202200422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1143320219994 and 1143320220021.

It is not an unprimeable number, because it can be changed into a prime (1143320220041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128067 + ... + 1517577.

It is an arithmetic number, because the mean of its divisors is an integer number (24160834656).

Almost surely, 21143320220042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143320220042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546293417984).

1143320220042 is an abundant number, since it is smaller than the sum of its proper divisors (1949266615926).

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

1143320220042 is a wasteful number, since it uses less digits than its factorization.

1143320220042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389684.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1143320220042 its reverse (2400220233411), we get a palindrome (3543540453453).

The spelling of 1143320220042 in words is "one trillion, one hundred forty-three billion, three hundred twenty million, two hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 137 143 154 182 231 273 274 286 411 429 462 546 822 858 959 1001 1507 1781 1918 2002 2877 3003 3014 3562 4521 5343 5754 6006 9042 10549 10686 12467 19591 21098 24934 31647 37401 39182 58773 63294 74802 117546 137137 274274 411411 822822 1389511 2779022 4168533 8337066 9726577 15284621 18063643 19453154 29179731 30569242 36127286 45853863 54190929 58359462 91707726 106992347 108381858 126445501 190363007 198700073 213984694 252891002 320977041 379336503 380726014 397400146 571089021 596100219 641954082 758673006 1142178042 1192200438 1332541049 1390900511 2093993077 2474719091 2665082098 2781801022 3997623147 4172701533 4187986154 4949438182 6281979231 7424157273 7995246294 8345403066 12563958462 14657951539 14848314546 17323033637 27221910001 29315903078 34646067274 43973854617 51969100911 54443820002 81665730003 87947709234 103938201822 163331460006 190553370007 381106740014 571660110021 1143320220042