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103243013152 = 2541253131091
BaseRepresentation
bin110000000100111000…
…0110101110000100000
3100212111011221110221221
41200021300311300200
53142420202410102
6115232412024424
710313313063226
oct1401160656040
9325434843857
10103243013152
113a86aa97964
1218013a62114
13997465b436
144dd5a44b16
152a43cd2637
hex1809c35c20

103243013152 has 48 divisors (see below), whose sum is σ = 208306201824. Its totient is φ = 50340928000.

The previous prime is 103243013141. The next prime is 103243013207. The reversal of 103243013152 is 251310342301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3305127 + ... + 3336217.

It is an arithmetic number, because the mean of its divisors is an integer number (4339712538).

Almost surely, 2103243013152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103243013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104153100912).

103243013152 is an abundant number, since it is smaller than the sum of its proper divisors (105063188672).

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

103243013152 is a wasteful number, since it uses less digits than its factorization.

103243013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33673 (or 33665 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 103243013152 its reverse (251310342301), we get a palindrome (354553355453).

The spelling of 103243013152 in words is "one hundred three billion, two hundred forty-three million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 2531 5062 10124 20248 31091 40496 62182 80992 103771 124364 207542 248728 415084 497456 830168 994912 1274731 1660336 2549462 3320672 5098924 10197848 20395696 40791392 78691321 157382642 314765284 629530568 1259061136 2518122272 3226344161 6452688322 12905376644 25810753288 51621506576 103243013152