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103113123232 = 257798836599
BaseRepresentation
bin110000000001000000…
…1010110010110100000
3100212011010112101111011
41200002001112112200
53142133424420412
6115211452030304
710310145041350
oct1400201262640
9325133471434
10103113123232
113a803740719
1217b98462394
139953780ab2
144dc26b2b60
152a376c67a7
hex18020565a0

103113123232 has 96 divisors (see below), whose sum is σ = 235243008000. Its totient is φ = 43575936768.

The previous prime is 103113123167. The next prime is 103113123259. The reversal of 103113123232 is 232321311301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15622269 + ... + 15628867.

It is an arithmetic number, because the mean of its divisors is an integer number (2450448000).

Almost surely, 2103113123232 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 103113123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117621504000).

103113123232 is an abundant number, since it is smaller than the sum of its proper divisors (132129884768).

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

103113123232 is an equidigital number, since it uses as much as digits as its factorization.

103113123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103113123232 its reverse (232321311301), we get a palindrome (335434434533).

The spelling of 103113123232 in words is "one hundred three billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 883 1106 1264 1766 2212 2528 3532 4424 6181 6599 7064 8848 12362 13198 14128 17696 24724 26396 28256 46193 49448 52792 69757 92386 98896 105584 139514 184772 197792 211168 279028 369544 488299 521321 558056 739088 976598 1042642 1116112 1478176 1953196 2085284 2232224 3649247 3906392 4170568 5826917 7298494 7812784 8341136 11653834 14596988 15625568 16682272 23307668 29193976 40788419 46615336 58387952 81576838 93230672 116775904 163153676 186461344 326307352 460326443 652614704 920652886 1305229408 1841305772 3222285101 3682611544 6444570202 7365223088 12889140404 14730446176 25778280808 51556561616 103113123232