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312341201130 = 23575333783273
BaseRepresentation
bin1001000101110001111…
…11001000000011101010
31002212012121002000001110
410202320333020003222
520104133321414010
6355253151531150
731365051255510
oct4427077100352
91085177060043
10312341201130
11110510513382
125064a529ab6
13235b888869a
14111901ba4b0
1581d0d7b120
hex48b8fc80ea

312341201130 has 128 divisors (see below), whose sum is σ = 875472219648. Its totient is φ = 69836562432.

The previous prime is 312341201119. The next prime is 312341201149. The reversal of 312341201130 is 31102143213.

It is a super-2 number, since 2×3123412011302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312341201097 and 312341201106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3709174 + ... + 3792446.

It is an arithmetic number, because the mean of its divisors is an integer number (6839626716).

Almost surely, 2312341201130 is an apocalyptic number.

312341201130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312341201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437736109824).

312341201130 is an abundant number, since it is smaller than the sum of its proper divisors (563131018518).

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

312341201130 is a wasteful number, since it uses less digits than its factorization.

312341201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83680.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312341201130 its reverse (31102143213), we get a palindrome (343443344343).

The spelling of 312341201130 in words is "three hundred twelve billion, three hundred forty-one million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 337 371 530 674 742 795 1011 1113 1590 1685 1855 2022 2226 2359 3370 3710 4718 5055 5565 7077 10110 11130 11795 14154 17861 23590 35385 35722 53583 70770 83273 89305 107166 125027 166546 178610 249819 250054 267915 375081 416365 499638 535830 582911 625135 750162 832730 1165822 1249095 1250270 1748733 1875405 2498190 2914555 3497466 3750810 4413469 5829110 8743665 8826938 13240407 17487330 22067345 26480814 28063001 30894283 44134690 56126002 61788566 66202035 84189003 92682849 132404070 140315005 154471415 168378006 185365698 196441007 280630010 308942830 392882014 420945015 463414245 589323021 841890030 926828490 982205035 1178646042 1487339053 1964410070 2946615105 2974678106 4462017159 5893230210 7436695265 8924034318 10411373371 14873390530 20822746742 22310085795 31234120113 44620171590 52056866855 62468240226 104113733710 156170600565 312341201130