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2313003132 = 22321145712781
BaseRepresentation
bin1000100111011101…
…1010000001111100
312222012022201210200
42021313122001330
514214112100012
61021303403500
7111214126236
oct21167320174
95865281720
102313003132
11a876a2540
12546753590
132ab27890b
1417d295256
15d80de3dc
hex89dda07c

2313003132 has 72 divisors (see below), whose sum is σ = 6392738352. Its totient is φ = 699321600.

The previous prime is 2313003131. The next prime is 2313003149.

2313003132 is a `hidden beast` number, since 231 + 300 + 3 + 132 = 666.

2313003132 is nontrivially palindromic in base 10.

2313003132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313003131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174582 + ... + 187362.

Almost surely, 22313003132 is an apocalyptic number.

2313003132 is a gapful number since it is divisible by the number (22) 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 2313003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196369176).

2313003132 is an abundant number, since it is smaller than the sum of its proper divisors (4079735220).

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

2313003132 is a wasteful number, since it uses less digits than its factorization.

2313003132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13259 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2313003132 is about 48093.6911870985. The cubic root of 2313003132 is about 1322.4890158381.

It can be divided in two parts, 231300 and 3132, that added together give a palindrome (234432).

The spelling of 2313003132 in words is "two billion, three hundred thirteen million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 457 914 1371 1828 2742 4113 5027 5484 8226 10054 12781 15081 16452 20108 25562 30162 38343 45243 51124 60324 76686 90486 115029 140591 153372 180972 230058 281182 421773 460116 562364 843546 1265319 1687092 2530638 5061276 5840917 11681834 17522751 23363668 35045502 52568253 64250087 70091004 105136506 128500174 192750261 210273012 257000348 385500522 578250783 771001044 1156501566 2313003132