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121202100 = 223252134669
BaseRepresentation
bin1110011100101…
…10010110110100
322110001201000200
413032112112310
5222011431400
620005440500
73001125615
oct716262664
9273051020
10121202100
1162462a28
1234710130
131c158126
141214dc0c
15a991b00
hex73965b4

121202100 has 54 divisors (see below), whose sum is σ = 379904070. Its totient is φ = 32320320.

The previous prime is 121202099. The next prime is 121202101. The reversal of 121202100 is 1202121.

It is an interprime number because it is at equal distance from previous prime (121202099) and next prime (121202101).

It can be written as a sum of positive squares in 3 ways, for example, as 32012964 + 89189136 = 5658^2 + 9444^2 .

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 (121202101) 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, 66435 + ... + 68234.

Almost surely, 2121202100 is an apocalyptic number.

121202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121202100 is an abundant number, since it is smaller than the sum of its proper divisors (258701970).

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

121202100 is a wasteful number, since it uses less digits than its factorization.

121202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134689 (or 134679 counting only the distinct ones).

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

The square root of 121202100 is about 11009.1825309602. The cubic root of 121202100 is about 494.8839642310.

Adding to 121202100 its reverse (1202121), we get a palindrome (122404221).

The spelling of 121202100 in words is "one hundred twenty-one million, two hundred two 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 134669 269338 404007 538676 673345 808014 1212021 1346690 1616028 2020035 2424042 2693380 3366725 4040070 4848084 6060105 6733450 8080140 10100175 12120210 13466900 20200350 24240420 30300525 40400700 60601050 121202100