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124001020 = 2251113191227
BaseRepresentation
bin1110110010000…
…01101011111100
322122022220102101
413121001223330
5223221013040
620145434444
73033664003
oct731015374
9278286371
10124001020
1163aa4890
123563ba24
131c8c80b0
141267bc3a
15ad4609a
hex7641afc

124001020 has 96 divisors (see below), whose sum is σ = 308883456. Its totient is φ = 41222400.

The previous prime is 124000999. The next prime is 124001021. The reversal of 124001020 is 20100421.

It is a super-2 number, since 2×1240010202 = 30752505922080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 124000988 and 124001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546147 + ... + 546373.

It is an arithmetic number, because the mean of its divisors is an integer number (3217536).

Almost surely, 2124001020 is an apocalyptic number.

124001020 is a gapful number since it is divisible by the number (10) 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 124001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

124001020 is an abundant number, since it is smaller than the sum of its proper divisors (184882436).

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

124001020 is a wasteful number, since it uses less digits than its factorization.

124001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 124001020 is about 11135.5745249179. The cubic root of 124001020 is about 498.6644625222.

Adding to 124001020 its reverse (20100421), we get a palindrome (144101441).

The spelling of 124001020 in words is "one hundred twenty-four million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 191 220 227 260 286 382 454 572 715 764 908 955 1135 1430 1910 2101 2270 2483 2497 2860 2951 3820 4202 4540 4966 4994 5902 8404 9932 9988 10505 11804 12415 12485 14755 21010 24830 24970 27313 29510 32461 42020 43357 49660 49940 54626 59020 64922 86714 109252 129844 136565 162305 173428 216785 273130 324610 433570 476927 546260 563641 649220 867140 953854 1127282 1907708 2254564 2384635 2818205 4769270 5636410 6200051 9538540 11272820 12400102 24800204 31000255 62000510 124001020