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1242342132510 = 235476131437347
BaseRepresentation
bin10010000101000001010…
…111001000101100011110
311101202200221220022021110
4102011001113020230132
5130323304041220020
62350420223242450
7155520252614343
oct22050127105436
94352627808243
101242342132510
11439968822a36
12180935a49426
13901c997479b
14441b5bb07ca
15224b21178e0
hex121415c8b1e

1242342132510 has 64 divisors (see below), whose sum is σ = 3050029458432. Its totient is φ = 323713316736.

The previous prime is 1242342132509. The next prime is 1242342132529. The reversal of 1242342132510 is 152312432421.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 145657 + ... + 1583003.

It is an arithmetic number, because the mean of its divisors is an integer number (47656710288).

Almost surely, 21242342132510 is an apocalyptic number.

1242342132510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242342132510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525014729216).

1242342132510 is an abundant number, since it is smaller than the sum of its proper divisors (1807687325922).

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

1242342132510 is a wasteful number, since it uses less digits than its factorization.

1242342132510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438017.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1242342132510 its reverse (152312432421), we get a palindrome (1394654564931).

The spelling of 1242342132510 in words is "one trillion, two hundred forty-two billion, three hundred forty-two million, one hundred thirty-two thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 613 705 1226 1410 1839 3065 3678 6130 9195 18390 28811 57622 86433 144055 172866 288110 432165 864330 1437347 2874694 4312041 7186735 8624082 14373470 21560205 43120410 67555309 135110618 202665927 337776545 405331854 675553090 881093711 1013329635 1762187422 2026659270 2643281133 4405468555 5286562266 8810937110 13216405665 26432811330 41411404417 82822808834 124234213251 207057022085 248468426502 414114044170 621171066255 1242342132510