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1006120098 = 232449124489
BaseRepresentation
bin111011111110000…
…010110010100010
32121010012012022100
4323332002302202
54030031320343
6243500351230
733634610514
oct7376026242
92533165270
101006120098
11476a23a15
12240b45516
131305a0a49
14978a1bb4
155d4de9d3
hex3bf82ca2

1006120098 has 24 divisors (see below), whose sum is σ = 2184799500. Its totient is φ = 334623744.

The previous prime is 1006120081. The next prime is 1006120109. The reversal of 1006120098 is 8900216001.

It can be written as a sum of positive squares in 2 ways, for example, as 973252809 + 32867289 = 31197^2 + 5733^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54163 + ... + 70326.

Almost surely, 21006120098 is an apocalyptic number.

1006120098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1006120098 is an abundant number, since it is smaller than the sum of its proper divisors (1178679402).

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

1006120098 is a wasteful number, since it uses less digits than its factorization.

1006120098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124946 (or 124943 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1006120098 is about 31719.3962426778. The cubic root of 1006120098 is about 1002.0358850260.

Adding to 1006120098 its reverse (8900216001), we get a palindrome (9906336099).

It can be divided in two parts, 1006 and 120098, that added together give a square (121104 = 3482).

The spelling of 1006120098 in words is "one billion, six million, one hundred twenty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 449 898 1347 2694 4041 8082 124489 248978 373467 746934 1120401 2240802 55895561 111791122 167686683 335373366 503060049 1006120098