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243102023120 = 245111553177883
BaseRepresentation
bin1110001001101000000…
…0100111110111010000
3212020111012100022202002
43202122000213313100
512440333104214440
6303402440013132
723364203046665
oct3423200476720
9766435308662
10243102023120
119410a833110
123b1464611a8
1319c02c57578
14baa2651a6c
1564cc454115
hex389a027dd0

243102023120 has 80 divisors (see below), whose sum is σ = 616995634752. Its totient is φ = 88343316480.

The previous prime is 243102023111. The next prime is 243102023161. The reversal of 243102023120 is 21320201342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 243102023092 and 243102023101.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1277699 + ... + 1455581.

Almost surely, 2243102023120 is an apocalyptic number.

243102023120 is a gapful number since it is divisible by the number (20) 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 243102023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308497817376).

243102023120 is an abundant number, since it is smaller than the sum of its proper divisors (373893611632).

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

243102023120 is a wasteful number, since it uses less digits than its factorization.

243102023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179460 (or 179454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 243102023120 its reverse (21320201342), we get a palindrome (264422224462).

The spelling of 243102023120 in words is "two hundred forty-three billion, one hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1553 3106 6212 7765 12424 15530 17083 24848 31060 34166 62120 68332 85415 124240 136664 170830 177883 273328 341660 355766 683320 711532 889415 1366640 1423064 1778830 1956713 2846128 3557660 3913426 7115320 7826852 9783565 14230640 15653704 19567130 31307408 39134260 78268520 156537040 276252299 552504598 1105009196 1381261495 2210018392 2762522990 3038775289 4420036784 5525045980 6077550578 11050091960 12155101156 15193876445 22100183920 24310202312 30387752890 48620404624 60775505780 121551011560 243102023120