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1101212023131 = 321121498398089
BaseRepresentation
bin10000000001100101010…
…110011111100101011011
310220021102100200220220100
4100001211112133211123
5121020240234220011
62201520111230443
7142363026516453
oct20014526374533
93807370626810
101101212023131
11395026529a00
12159509818423
137cac7c1c11c
143b428446d63
151d9a20b3d56
hex1006559f95b

1101212023131 has 72 divisors (see below), whose sum is σ = 1762438860000. Its totient is φ = 662050033920.

The previous prime is 1101212023081. The next prime is 1101212023151. The reversal of 1101212023131 is 1313202121011.

It is not a de Polignac number, because 1101212023131 - 211 = 1101212021083 is a prime.

It is a super-2 number, since 2×11012120231312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101212023151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136132935 + ... + 136141023.

It is an arithmetic number, because the mean of its divisors is an integer number (24478317500).

Almost surely, 21101212023131 is an apocalyptic number.

1101212023131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101212023131 is a deficient number, since it is larger than the sum of its proper divisors (661226836869).

1101212023131 is a wasteful number, since it uses less digits than its factorization.

1101212023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1101212023131 its reverse (1313202121011), we get a palindrome (2414414144142).

The spelling of 1101212023131 in words is "one trillion, one hundred one billion, two hundred twelve million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 149 363 447 839 1089 1341 1639 2517 4917 7551 8089 9229 14751 18029 24267 27687 54087 72801 83061 88979 101519 125011 162261 266937 304557 375033 800811 913671 978769 1125099 1205261 1375121 2936307 3615783 4125363 6786671 8808921 10847349 12376089 13257871 15126331 20360013 39773613 45378993 61080039 74653381 119320839 136136979 145836581 223960143 437509743 671880429 821187191 1011213979 1312529229 2463561573 3033641937 7390684719 9100925811 11123353769 33370061307 100110183921 122356891459 367070674377 1101212023131