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1202142100 = 225273164677
BaseRepresentation
bin100011110100111…
…0011101110010100
310002210001010221111
41013221303232110
54430222021400
6315142024404
741535016315
oct10751635624
93083033844
101202142100
1156763a175
12296718104
131620944b3
14b592a60c
15708103ba
hex47a73b94

1202142100 has 36 divisors (see below), whose sum is σ = 2644399324. Its totient is φ = 474266880.

The previous prime is 1202142091. The next prime is 1202142101. The reversal of 1202142100 is 12412021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12306064 + 1189836036 = 3508^2 + 34494^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75039 + ... + 89638.

Almost surely, 21202142100 is an apocalyptic number.

1202142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1202142100 is an abundant number, since it is smaller than the sum of its proper divisors (1442257224).

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

1202142100 is a wasteful number, since it uses less digits than its factorization.

1202142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164764 (or 164757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1202142100 is about 34671.9209159227. The cubic root of 1202142100 is about 1063.2905046794.

Adding to 1202142100 its reverse (12412021), we get a palindrome (1214554121).

The spelling of 1202142100 in words is "one billion, two hundred two million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 164677 329354 658708 823385 1646770 3293540 4116925 8233850 12021421 16467700 24042842 48085684 60107105 120214210 240428420 300535525 601071050 1202142100