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2011000131 = 32727362467
BaseRepresentation
bin111011111011101…
…0110110101000011
312012011001101120100
41313313112311003
513104304001011
6531314413443
7100556135100
oct16767266503
95164041510
102011000131
11942180188
12481591283
1326082920a
1415111daa7
15bb836d56
hex77dd6d43

2011000131 has 36 divisors (see below), whose sum is σ = 3425370312. Its totient is φ = 1133383104.

The previous prime is 2011000127. The next prime is 2011000177. The reversal of 2011000131 is 1310001102.

It is not a de Polignac number, because 2011000131 - 22 = 2011000127 is a prime.

It is a super-2 number, since 2×20110001312 = 8088243053764034322, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2011001131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 960 + ... + 63426.

Almost surely, 22011000131 is an apocalyptic number.

2011000131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011000131 is a deficient number, since it is larger than the sum of its proper divisors (1414370181).

2011000131 is a wasteful number, since it uses less digits than its factorization.

2011000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62560 (or 62550 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2011000131 is about 44844.1761101706. The cubic root of 2011000131 is about 1262.2267107185.

Adding to 2011000131 its reverse (1310001102), we get a palindrome (3321001233).

The spelling of 2011000131 in words is "two billion, eleven million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 73 147 219 441 511 657 1533 3577 4599 10731 32193 62467 187401 437269 562203 1311807 3060883 3935421 4560091 9182649 13680273 27547947 31920637 41040819 95761911 223444459 287285733 670333377 2011000131