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2113213140 = 2232517965587
BaseRepresentation
bin111110111110101…
…0001001011010100
312110021101100110100
41331331101023110
513311440310030
6545405254100
7103240005153
oct17575211324
95407340410
102113213140
11994943345
124ab864330
13278a6609c
1416092959a
15c57c7360
hex7df512d4

2113213140 has 72 divisors (see below), whose sum is σ = 6445988640. Its totient is φ = 560366784.

The previous prime is 2113213129. The next prime is 2113213183. The reversal of 2113213140 is 413123112.

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 23 ways as a sum of consecutive naturals, for example, 574 + ... + 65013.

It is an arithmetic number, because the mean of its divisors is an integer number (89527620).

Almost surely, 22113213140 is an apocalyptic number.

2113213140 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 2113213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222994320).

2113213140 is an abundant number, since it is smaller than the sum of its proper divisors (4332775500).

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

2113213140 is a wasteful number, since it uses less digits than its factorization.

2113213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65781 (or 65776 counting only the distinct ones).

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

The square root of 2113213140 is about 45969.6980629632. The cubic root of 2113213140 is about 1283.2593407987.

Adding to 2113213140 its reverse (413123112), we get a palindrome (2526336252).

The spelling of 2113213140 in words is "two billion, one hundred thirteen million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 5370 6444 8055 10740 16110 32220 65587 131174 196761 262348 327935 393522 590283 655870 787044 983805 1180566 1311740 1967610 2361132 2951415 3935220 5902830 11740073 11805660 23480146 35220219 46960292 58700365 70440438 105660657 117400730 140880876 176101095 211321314 234801460 352202190 422642628 528303285 704404380 1056606570 2113213140