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103114044 = 22321117353
BaseRepresentation
bin1100010010101…
…10010100111100
321012000201212200
412021112110330
5202344122134
614122031500
72361312015
oct611262474
9235021780
10103114044
1153229120
122a648590
1318494037
14d9a200c
1590bc499
hex625653c

103114044 has 144 divisors (see below), whose sum is σ = 307812960. Its totient is φ = 28853760.

The previous prime is 103114003. The next prime is 103114049. The reversal of 103114044 is 440411301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103114049) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1945522 + ... + 1945574.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 2103114044 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 103114044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153906480).

103114044 is an abundant number, since it is smaller than the sum of its proper divisors (204698916).

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

103114044 is a wasteful number, since it uses less digits than its factorization.

103114044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103114044 is about 10154.5085553167. The cubic root of 103114044 is about 468.9277563705.

Adding to 103114044 its reverse (440411301), we get a palindrome (543525345).

The spelling of 103114044 in words is "one hundred three million, one hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 53 66 68 99 102 106 132 153 159 187 198 204 212 289 306 318 374 396 477 561 578 583 612 636 748 867 901 954 1122 1156 1166 1683 1734 1749 1802 1908 2244 2332 2601 2703 3179 3366 3468 3498 3604 4913 5202 5247 5406 6358 6732 6996 8109 9537 9826 9911 10404 10494 10812 12716 14739 15317 16218 19074 19652 19822 20988 28611 29478 29733 30634 32436 38148 39644 44217 45951 54043 57222 58956 59466 61268 88434 89199 91902 108086 114444 118932 137853 162129 168487 176868 178398 183804 216172 260389 275706 324258 336974 356796 486387 505461 520778 551412 648516 673948 781167 972774 1010922 1041556 1516383 1562334 1945548 2021844 2343501 2864279 3032766 3124668 4687002 5728558 6065532 8592837 9374004 11457116 17185674 25778511 34371348 51557022 103114044