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103501056 = 2831941173
BaseRepresentation
bin1100010101101…
…00110100000000
321012202101202110
412022310310000
5202444013211
614134215320
72364513231
oct612646400
9235671673
10103501056
115347296a
122a7b4540
131859b239
14da63088
159146ea6
hex62b4d00

103501056 has 144 divisors (see below), whose sum is σ = 298751040. Its totient is φ = 31703040.

The previous prime is 103501039. The next prime is 103501067. The reversal of 103501056 is 650105301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598186 + ... + 598358.

It is an arithmetic number, because the mean of its divisors is an integer number (2074660).

Almost surely, 2103501056 is an apocalyptic number.

103501056 is a gapful number since it is divisible by the number (16) 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 103501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149375520).

103501056 is an abundant number, since it is smaller than the sum of its proper divisors (195249984).

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

103501056 is a wasteful number, since it uses less digits than its factorization.

103501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 103501056 is about 10173.5468741241. The cubic root of 103501056 is about 469.5136904395.

Adding to 103501056 its reverse (650105301), we get a palindrome (753606357).

The spelling of 103501056 in words is "one hundred three million, five hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 173 192 228 246 256 304 328 346 384 456 492 519 608 656 692 768 779 912 984 1038 1216 1312 1384 1558 1824 1968 2076 2337 2432 2624 2768 3116 3287 3648 3936 4152 4674 4864 5248 5536 6232 6574 7093 7296 7872 8304 9348 9861 10496 11072 12464 13148 14186 14592 15744 16608 18696 19722 21279 22144 24928 26296 28372 31488 33216 37392 39444 42558 44288 49856 52592 56744 66432 74784 78888 85116 99712 105184 113488 132864 134767 149568 157776 170232 199424 210368 226976 269534 299136 315552 340464 404301 420736 453952 539068 598272 631104 680928 808602 841472 907904 1078136 1262208 1361856 1617204 1815808 2156272 2524416 2723712 3234408 4312544 5447424 6468816 8625088 12937632 17250176 25875264 34500352 51750528 103501056