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1331100212130 = 2325131137692489
BaseRepresentation
bin10011010111101011110…
…000010101101110100010
311201020210122212220220200
4103113223300111232202
5133302043123242010
62455255441050030
7165111622055643
oct23275360255642
94636718786820
101331100212130
11473575405947
12195b86926916
13986a33b5920
14485d5b896ca
1524959427cc0
hex135ebc15ba2

1331100212130 has 48 divisors (see below), whose sum is σ = 3727080597240. Its totient is φ = 327655436544.

The previous prime is 1331100212129. The next prime is 1331100212131. The reversal of 1331100212130 is 312120011331.

1331100212130 is a `hidden beast` number, since 1 + 331 + 100 + 21 + 213 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1331100212129) and next prime (1331100212131).

It can be written as a sum of positive squares in 4 ways, for example, as 716746798881 + 614353413249 = 846609^2 + 783807^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1331100212131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568845075 + ... + 568847414.

Almost surely, 21331100212130 is an apocalyptic number.

1331100212130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331100212130 is an abundant number, since it is smaller than the sum of its proper divisors (2395980385110).

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

1331100212130 is a wasteful number, since it uses less digits than its factorization.

1331100212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137692515 (or 1137692512 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1331100212130 its reverse (312120011331), we get a palindrome (1643220223461).

The spelling of 1331100212130 in words is "one trillion, three hundred thirty-one billion, one hundred million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1137692489 2275384978 3413077467 5688462445 6826154934 10239232401 11376924890 14790002357 17065387335 20478464802 29580004714 34130774670 44370007071 51196162005 73950011785 88740014142 102392324010 133110021213 147900023570 221850035355 266220042426 443700070710 665550106065 1331100212130