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2113442331 = 3711132337827
BaseRepresentation
bin111110111111000…
…1001001000011011
312110021210222211220
41331332021020123
513312020123311
6545414223123
7103241651310
oct17576111033
95407728756
102113442331
11994a8a560
124ab954aa3
13278b164c0
14160988d07
15c5820206
hex7df8921b

2113442331 has 128 divisors (see below), whose sum is σ = 4059611136. Its totient is φ = 942036480.

The previous prime is 2113442323. The next prime is 2113442341. The reversal of 2113442331 is 1332443112.

It is a happy number.

It is not a de Polignac number, because 2113442331 - 23 = 2113442323 is a prime.

It is a super-2 number, since 2×21134423312 = 8933276972925427122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113442341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2555140 + ... + 2555966.

It is an arithmetic number, because the mean of its divisors is an integer number (31715712).

Almost surely, 22113442331 is an apocalyptic number.

2113442331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113442331 is a deficient number, since it is larger than the sum of its proper divisors (1946168805).

2113442331 is a wasteful number, since it uses less digits than its factorization.

2113442331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921.

The product of its digits is 1728, while the sum is 24.

The square root of 2113442331 is about 45972.1908440309. The cubic root of 2113442331 is about 1283.3057315853.

Adding to 2113442331 its reverse (1332443112), we get a palindrome (3445885443).

It can be divided in two parts, 2113 and 442331, that added together give a palindrome (444444).

The spelling of 2113442331 in words is "two billion, one hundred thirteen million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 23 33 37 39 69 77 91 111 143 161 231 253 259 273 299 407 429 481 483 759 777 827 851 897 1001 1221 1443 1771 2093 2481 2553 2849 3003 3289 3367 5291 5313 5789 5957 6279 8547 9097 9361 9867 10101 10751 11063 15873 17367 17871 19021 23023 27291 28083 30599 32253 33189 37037 57063 63679 65527 69069 75257 77441 91797 111111 118261 121693 133147 191037 196581 209231 214193 225771 232323 247273 336589 354783 365079 397787 399441 627693 642579 703777 741819 827827 851851 1009767 1193361 1464617 1730911 2111331 2356123 2483481 2555553 2720003 2784509 4375657 4393851 4926439 5192733 7068369 7741547 8160009 8353527 9149101 13126971 14779317 19040021 23224641 27447303 30629599 54190829 57120063 64043707 91888797 100640111 162572487 192131121 301920333 704480777 2113442331