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124103430 = 232511671871
BaseRepresentation
bin1110110010110…
…10101100000110
322122112002220100
413121122230012
5223232302210
620151544530
73034601403
oct731325406
9278462810
10124103430
1164064820
123568b146
131c9328a9
14126a72aa
15ad665c0
hex765ab06

124103430 has 96 divisors (see below), whose sum is σ = 357447168. Its totient is φ = 29620800.

The previous prime is 124103401. The next prime is 124103437. The reversal of 124103430 is 34301421.

It is a super-2 number, since 2×1241034302 = 30803322675529800, which contains 22 as substring.

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 (124103437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65395 + ... + 67265.

It is an arithmetic number, because the mean of its divisors is an integer number (3723408).

Almost surely, 2124103430 is an apocalyptic number.

124103430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124103430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178723584).

124103430 is an abundant number, since it is smaller than the sum of its proper divisors (233343738).

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

124103430 is a wasteful number, since it uses less digits than its factorization.

124103430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 124103430 is about 11140.1719017258. The cubic root of 124103430 is about 498.8017038000.

Adding to 124103430 its reverse (34301421), we get a palindrome (158404851).

The spelling of 124103430 in words is "one hundred twenty-four million, one hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 67 90 99 110 134 165 198 201 330 335 402 495 603 670 737 990 1005 1206 1474 1871 2010 2211 3015 3685 3742 4422 5613 6030 6633 7370 9355 11055 11226 13266 16839 18710 20581 22110 28065 33165 33678 41162 56130 61743 66330 84195 102905 123486 125357 168390 185229 205810 250714 308715 370458 376071 617430 626785 752142 926145 1128213 1253570 1378927 1852290 1880355 2256426 2757854 3760710 4136781 5641065 6894635 8273562 11282130 12410343 13789270 20683905 24820686 41367810 62051715 124103430