Search a number
-
+
1132001010012 = 2234143157340811
BaseRepresentation
bin10000011110010000100…
…001001010000101011100
311000012220002121111210210
4100132100201022011130
5122021314224310022
62224011210132420
7144533016552555
oct20362041120534
94005802544723
101132001010012
113a7096071504
12163480a21110
13829938ac362
143cb0959132c
151e6a50dba0c
hex1079084a15c

1132001010012 has 96 divisors (see below), whose sum is σ = 2786326228224. Its totient is φ = 357277939200.

The previous prime is 1132001009983. The next prime is 1132001010017. The reversal of 1132001010012 is 2100101002311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1132001010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132001010017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3151087 + ... + 3491897.

It is an arithmetic number, because the mean of its divisors is an integer number (29024231544).

Almost surely, 21132001010012 is an apocalyptic number.

1132001010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132001010012 is an abundant number, since it is smaller than the sum of its proper divisors (1654325218212).

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

1132001010012 is a wasteful number, since it uses less digits than its factorization.

1132001010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341059 (or 341057 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1132001010012 its reverse (2100101002311), we get a palindrome (3232102012323).

It can be divided in two parts, 11 and 32001010012, that added together give a palindrome (32001010023).

The spelling of 1132001010012 in words is "one trillion, one hundred thirty-two billion, one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 41 43 82 86 123 129 157 164 172 246 258 314 471 492 516 628 942 1763 1884 3526 5289 6437 6751 7052 10578 12874 13502 19311 20253 21156 25748 27004 38622 40506 77244 81012 276791 340811 553582 681622 830373 1022433 1107164 1363244 1660746 2044866 3321492 4089732 13973251 14654873 27946502 29309746 41919753 43964619 53507327 55893004 58619492 83839506 87929238 107014654 160521981 167679012 175858476 214029308 321043962 600849793 642087924 1201699586 1802549379 2193800407 2300815061 2403399172 3605098758 4387600814 4601630122 6581401221 6902445183 7210197516 8775201628 9203260244 13162802442 13804890366 26325604884 27609780732 94333417501 188666835002 283000252503 377333670004 566000505006 1132001010012