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23120433242200 = 2352754547302759
BaseRepresentation
bin1010100000111001001010…
…01101011110000001011000
310000212021212202010101011201
411100130211031132001120
511012301121402222300
6121101214100003544
74604252613654130
oct520344515360130
9100767782111151
1023120433242200
1174043588a9138
122714a8a3905b4
13cb932a9ab218
1459d06bc35ac0
152a163760d66a
hex15072535e058

23120433242200 has 96 divisors (see below), whose sum is σ = 61435623225600. Its totient is φ = 7926834176640.

The previous prime is 23120433242167. The next prime is 23120433242237. The reversal of 23120433242200 is 224233402132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76214421 + ... + 76517179.

It is an arithmetic number, because the mean of its divisors is an integer number (639954408600).

Almost surely, 223120433242200 is an apocalyptic number.

23120433242200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120433242200 is an abundant number, since it is smaller than the sum of its proper divisors (38315189983400).

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

23120433242200 is a wasteful number, since it uses less digits than its factorization.

23120433242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357329 (or 357320 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23120433242200 its reverse (224233402132), we get a palindrome (23344666644332).

The spelling of 23120433242200 in words is "twenty-three trillion, one hundred twenty billion, four hundred thirty-three million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 54547 109094 218188 272735 302759 381829 436376 545470 605518 763658 1090940 1211036 1363675 1513795 1527316 1909145 2119313 2181880 2422072 2727350 3027590 3054632 3818290 4238626 5454700 6055180 7568975 7636580 8477252 9545725 10596565 10909400 12110360 15137950 15273160 16954504 19091450 21193130 30275900 38182900 42386260 52982825 60551800 76365800 84772520 105965650 211931300 423862600 16514595173 33029190346 66058380692 82572975865 115602166211 132116761384 165145951730 231204332422 330291903460 412864879325 462408664844 578010831055 660583806920 825729758650 924817329688 1156021662110 1651459517300 2312043324220 2890054155275 3302919034600 4624086648440 5780108310550 11560216621100 23120433242200