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103550431152 = 24374127127737
BaseRepresentation
bin110000001110000010…
…1100010111110110000
3100220021121101221011210
41200130011202332300
53144032402244102
6115323113040120
710324035066510
oct1403405427660
9326247357153
10103550431152
113aa08578623
121809a9b6040
1399c325578c
1450247c9840
152a60ca936c
hex181c162fb0

103550431152 has 160 divisors (see below), whose sum is σ = 314343880704. Its totient is φ = 28756684800.

The previous prime is 103550431139. The next prime is 103550431169. The reversal of 103550431152 is 251134055301.

It is a super-3 number, since 3×1035504311523 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3719428 + ... + 3747164.

Almost surely, 2103550431152 is an apocalyptic number.

103550431152 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 103550431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157171940352).

103550431152 is an abundant number, since it is smaller than the sum of its proper divisors (210793449552).

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

103550431152 is a wasteful number, since it uses less digits than its factorization.

103550431152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28067 (or 28061 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 103550431152 its reverse (251134055301), we get a palindrome (354684486453).

The spelling of 103550431152 in words is "one hundred three billion, five hundred fifty million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 271 287 328 336 492 542 574 656 813 861 984 1084 1148 1626 1722 1897 1968 2168 2296 3252 3444 3794 4336 4592 5691 6504 6888 7588 11111 11382 13008 13776 15176 22222 22764 27737 30352 33333 44444 45528 55474 66666 77777 83211 88888 91056 110948 133332 155554 166422 177776 194159 221896 233331 266664 311108 332844 388318 443792 466662 533328 582477 622216 665688 776636 933324 1137217 1164954 1244432 1331376 1553272 1866648 2274434 2329908 3106544 3411651 3733296 4548868 4659816 6823302 7516727 7960519 9097736 9319632 13646604 15033454 15921038 18195472 22550181 23881557 27293208 30066908 31842076 45100362 47763114 52617089 54586416 60133816 63684152 90200724 95526228 105234178 120267632 127368304 157851267 180401448 191052456 210468356 308185807 315702534 360802896 382104912 420936712 616371614 631405068 841873424 924557421 1232743228 1262810136 1849114842 2157300649 2465486456 2525620272 3698229684 4314601298 4930972912 6471901947 7396459368 8629202596 12943803894 14792918736 17258405192 25887607788 34516810384 51775215576 103550431152