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103311311232 = 273299379901
BaseRepresentation
bin110000000110111010…
…1011000000110000000
3100212122221110101022110
41200031311120012000
53143040143424412
6115243251535320
710315102441053
oct1401565300600
9325587411273
10103311311232
113a8a55a6258
12180328ba540
1399858523bc
145000b42a9a
152a49cc3d3c
hex180dd58180

103311311232 has 128 divisors (see below), whose sum is σ = 284215125600. Its totient is φ = 33210777600.

The previous prime is 103311311179. The next prime is 103311311251. The reversal of 103311311232 is 232113113301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 103311311199 and 103311311208.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 10429482 + ... + 10439382.

Almost surely, 2103311311232 is an apocalyptic number.

103311311232 is a gapful number since it is divisible by the number (12) 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 103311311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107562800).

103311311232 is an abundant number, since it is smaller than the sum of its proper divisors (180903814368).

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

103311311232 is an equidigital number, since it uses as much as digits as its factorization.

103311311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10884 (or 10872 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103311311232 its reverse (232113113301), we get a palindrome (335424424533).

The spelling of 103311311232 in words is "one hundred three billion, three hundred eleven million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 937 1392 1856 1874 2784 2811 3712 3748 5568 5622 7496 9901 11136 11244 14992 19802 22488 27173 29703 29984 39604 44976 54346 59406 59968 79208 81519 89952 108692 118812 119936 158416 163038 179904 217384 237624 287129 316832 326076 359808 434768 475248 574258 633664 652152 861387 869536 950496 1148516 1267328 1304304 1722774 1739072 1900992 2297032 2608608 3445548 3478144 3801984 4594064 5217216 6891096 9188128 9277237 10434432 13782192 18376256 18554474 27564384 27831711 36752512 37108948 55128768 55663422 74217896 110257536 111326844 148435792 222653688 269039873 296871584 445307376 538079746 593743168 807119619 890614752 1076159492 1187486336 1614239238 1781229504 2152318984 3228478476 3562459008 4304637968 6456956952 8609275936 12913913904 17218551872 25827827808 34437103744 51655655616 103311311232