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124020100 = 22521772953
BaseRepresentation
bin1110110010001…
…10010110000100
322122100212121001
413121012112010
5223222120400
620150103044
73034103431
oct731062604
9278325531
10124020100
1164008156
123564aa84
131c903999
1412684b88
15ad4ba6a
hex7646584

124020100 has 36 divisors (see below), whose sum is σ = 284958324. Its totient is φ = 46689280.

The previous prime is 124020097. The next prime is 124020101. The reversal of 124020100 is 1020421.

It can be written as a sum of positive squares in 6 ways, for example, as 9604 + 124010496 = 98^2 + 11136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (124020101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34777 + ... + 38176.

It is an arithmetic number, because the mean of its divisors is an integer number (7915509).

Almost surely, 2124020100 is an apocalyptic number.

124020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124020100 is an abundant number, since it is smaller than the sum of its proper divisors (160938224).

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

124020100 is a wasteful number, since it uses less digits than its factorization.

124020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72984 (or 72977 counting only the distinct ones).

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

The square root of 124020100 is about 11136.4312057319. The cubic root of 124020100 is about 498.6900376612.

Adding to 124020100 its reverse (1020421), we get a palindrome (125040521).

The spelling of 124020100 in words is "one hundred twenty-four million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 72953 145906 291812 364765 729530 1240201 1459060 1823825 2480402 3647650 4960804 6201005 7295300 12402010 24804020 31005025 62010050 124020100