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313432402530 = 2351310731124151
BaseRepresentation
bin1001000111110100000…
…01101110101001100010
31002222000122100202222010
410203322001232221202
520113402143340110
6355553332053350
731434101314632
oct4437201565142
91088018322863
10313432402530
11110a20469115
12508b3a64256
13237309785a0
14112550a86c2
158246a75020
hex48fa06ea62

313432402530 has 128 divisors (see below), whose sum is σ = 820336398336. Its totient is φ = 76182624000.

The previous prime is 313432402523. The next prime is 313432402571. The reversal of 313432402530 is 35204234313.

It is a super-3 number, since 3×3134324025303 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12965955 + ... + 12990105.

It is an arithmetic number, because the mean of its divisors is an integer number (6408878112).

Almost surely, 2313432402530 is an apocalyptic number.

313432402530 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 313432402530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410168199168).

313432402530 is an abundant number, since it is smaller than the sum of its proper divisors (506903995806).

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

313432402530 is a wasteful number, since it uses less digits than its factorization.

313432402530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24592.

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 313432402530 its reverse (35204234313), we get a palindrome (348636636843).

The spelling of 313432402530 in words is "three hundred thirteen billion, four hundred thirty-two million, four hundred two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 311 321 390 535 622 642 933 1070 1391 1555 1605 1866 2782 3110 3210 4043 4173 4665 6955 8086 8346 9330 12129 13910 20215 20865 24151 24258 33277 40430 41730 48302 60645 66554 72453 99831 120755 121290 144906 166385 199662 241510 313963 332770 362265 432601 499155 627926 724530 865202 941889 998310 1297803 1569815 1883778 2163005 2584157 2595606 3139630 4326010 4709445 5168314 6489015 7510961 7752471 9418890 12920785 12978030 15021922 15504942 22532883 25841570 33594041 37554805 38762355 45065766 67188082 75109610 77524710 97642493 100782123 112664415 167970205 195284986 201564246 225328830 292927479 335940410 488212465 503910615 585854958 803672827 976424930 1007821230 1464637395 1607345654 2411018481 2929274790 4018364135 4822036962 8036728270 10447746751 12055092405 20895493502 24110184810 31343240253 52238733755 62686480506 104477467510 156716201265 313432402530