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120014100 = 223252133349
BaseRepresentation
bin1110010011101…
…00010100010100
322100211100101200
413021310110110
5221210422400
615524152500
72655050223
oct711642424
9270740350
10120014100
1161821408
1234238730
131bb3047b
1411d20cba
15a809b00
hex7274514

120014100 has 54 divisors (see below), whose sum is σ = 376180350. Its totient is φ = 32003520.

The previous prime is 120014053. The next prime is 120014107. The reversal of 120014100 is 1410021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 898704 + 119115396 = 948^2 + 10914^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120014107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65775 + ... + 67574.

Almost surely, 2120014100 is an apocalyptic number.

120014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120014100 is an abundant number, since it is smaller than the sum of its proper divisors (256166250).

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

120014100 is a wasteful number, since it uses less digits than its factorization.

120014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133369 (or 133359 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120014100 is about 10955.0947052045. The cubic root of 120014100 is about 493.2617327707.

Adding to 120014100 its reverse (1410021), we get a palindrome (121424121).

The spelling of 120014100 in words is "one hundred twenty million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 133349 266698 400047 533396 666745 800094 1200141 1333490 1600188 2000235 2400282 2666980 3333725 4000470 4800564 6000705 6667450 8000940 10001175 12001410 13334900 20002350 24002820 30003525 40004700 60007050 120014100