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103122272 = 25111719907
BaseRepresentation
bin1100010010110…
…00010101100000
321012001011011102
412021120111200
5202344403042
614122133532
72361345011
oct611302540
9235034142
10103122272
1153234320
122a6512a8
13184979c6
14d9a5008
1590beb32
hex6258560

103122272 has 96 divisors (see below), whose sum is σ = 247121280. Its totient is φ = 41748480.

The previous prime is 103122263. The next prime is 103122281. The reversal of 103122272 is 272221301.

It is an interprime number because it is at equal distance from previous prime (103122263) and next prime (103122281).

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, 113243 + ... + 114149.

It is an arithmetic number, because the mean of its divisors is an integer number (2574180).

Almost surely, 2103122272 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 103122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123560640).

103122272 is an abundant number, since it is smaller than the sum of its proper divisors (143999008).

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

103122272 is a wasteful number, since it uses less digits than its factorization.

103122272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 103122272 is about 10154.9136874717. The cubic root of 103122272 is about 468.9402287581.

Adding to 103122272 its reverse (272221301), we get a palindrome (375343573).

The spelling of 103122272 in words is "one hundred three million, one hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 68 76 88 136 152 176 187 209 272 304 323 352 374 418 544 608 646 748 836 907 1292 1496 1672 1814 2584 2992 3344 3553 3628 5168 5984 6688 7106 7256 9977 10336 14212 14512 15419 17233 19954 28424 29024 30838 34466 39908 56848 61676 68932 79816 113696 123352 137864 159632 169609 189563 246704 275728 292961 319264 339218 379126 493408 551456 585922 678436 758252 1171844 1356872 1516504 2343688 2713744 3033008 3222571 4687376 5427488 6066016 6445142 9374752 12890284 25780568 51561136 103122272