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11443420120 = 23511217139079
BaseRepresentation
bin10101010100001010…
…01011101111011000
31002112111210222021211
422222011023233120
5141414003420440
65131304112504
7553402315606
oct125205135730
932474728254
1011443420120
11494256aa00
122274465734
131104a5c412
147a7b38876
1546e97ceea
hex2aa14bbd8

11443420120 has 96 divisors (see below), whose sum is σ = 29966176800. Its totient is φ = 3916436480.

The previous prime is 11443420117. The next prime is 11443420123. The reversal of 11443420120 is 2102434411.

It is a happy number.

11443420120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11443420117) and next prime (11443420123).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11443420091 and 11443420100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443420123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12741 + ... + 151819.

It is an arithmetic number, because the mean of its divisors is an integer number (312147675).

Almost surely, 211443420120 is an apocalyptic number.

11443420120 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 11443420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983088400).

11443420120 is an abundant number, since it is smaller than the sum of its proper divisors (18522756680).

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

11443420120 is a wasteful number, since it uses less digits than its factorization.

11443420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139129 (or 139114 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11443420120 its reverse (2102434411), we get a palindrome (13545854531).

The spelling of 11443420120 in words is "eleven billion, four hundred forty-three million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 4114 4840 7480 8228 10285 16456 20570 41140 82280 139079 278158 556316 695395 1112632 1390790 1529869 2364343 2781580 3059738 4728686 5563160 6119476 7649345 9457372 11821715 12238952 15298690 16828559 18914744 23643430 26007773 30597380 33657118 47286860 52015546 61194760 67314236 84142795 94573720 104031092 130038865 134628472 168285590 208062184 260077730 286085503 336571180 520155460 572171006 673142360 1040310920 1144342012 1430427515 2288684024 2860855030 5721710060 11443420120