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2131113240 = 233451315021
BaseRepresentation
bin111111100000110…
…0011010100011000
312111112001202210000
41333001203110120
513331031110430
6551245053000
7103545110064
oct17701432430
95445052700
102131113240
119a3a59a13
124b5857160
1327c692769
14163068aa4
15c7160e60
hex7f063518

2131113240 has 160 divisors (see below), whose sum is σ = 7219024560. Its totient is φ = 563846400.

The previous prime is 2131113221. The next prime is 2131113253. The reversal of 2131113240 is 423111312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 421930 + ... + 426950.

Almost surely, 22131113240 is an apocalyptic number.

2131113240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609512280).

2131113240 is an abundant number, since it is smaller than the sum of its proper divisors (5087911320).

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

2131113240 is a wasteful number, since it uses less digits than its factorization.

2131113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2131113240 is about 46163.9820639424. The cubic root of 2131113240 is about 1286.8724668646.

Adding to 2131113240 its reverse (423111312), we get a palindrome (2554224552).

The spelling of 2131113240 in words is "two billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 131 135 162 180 216 262 270 324 360 393 405 524 540 648 655 786 810 1048 1080 1179 1310 1572 1620 1965 2358 2620 3144 3240 3537 3930 4716 5021 5240 5895 7074 7860 9432 10042 10611 11790 14148 15063 15720 17685 20084 21222 23580 25105 28296 30126 35370 40168 42444 45189 47160 50210 53055 60252 70740 75315 84888 90378 100420 106110 120504 135567 141480 150630 180756 200840 212220 225945 271134 301260 361512 406701 424440 451890 542268 602520 657751 677835 813402 903780 1084536 1315502 1355670 1626804 1807560 1973253 2033505 2631004 2711340 3253608 3288755 3946506 4067010 5262008 5422680 5919759 6577510 7893012 8134020 9866265 11839518 13155020 15786024 16268040 17759277 19732530 23679036 26310040 29598795 35518554 39465060 47358072 53277831 59197590 71037108 78930120 88796385 106555662 118395180 142074216 177592770 213111324 236790360 266389155 355185540 426222648 532778310 710371080 1065556620 2131113240