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312000522030 = 23354142716599
BaseRepresentation
bin1001000101001001010…
…11100010011100101110
31002211022212000201012000
410202210223202130232
520102434113201110
6355155301553130
731353443452131
oct4424453423456
91084285021160
10312000522030
111103561850aa
12505744157a6
1323563116c12
141115ac58218
1581b0ed41c0
hex48a4ae272e

312000522030 has 128 divisors (see below), whose sum is σ = 852622848000. Its totient is φ = 81139564800.

The previous prime is 312000522023. The next prime is 312000522049. The reversal of 312000522030 is 30225000213.

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

It is a junction number, because it is equal to n+sod(n) for n = 312000521994 and 312000522012.

It is a congruent number.

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, 47276671 + ... + 47283269.

It is an arithmetic number, because the mean of its divisors is an integer number (6661116000).

Almost surely, 2312000522030 is an apocalyptic number.

312000522030 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 312000522030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426311424000).

312000522030 is an abundant number, since it is smaller than the sum of its proper divisors (540622325970).

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

312000522030 is a wasteful number, since it uses less digits than its factorization.

312000522030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10927 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 312000522030 its reverse (30225000213), we get a palindrome (342225522243).

The spelling of 312000522030 in words is "three hundred twelve billion, five hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 4271 5535 6599 8542 11070 12813 13198 19797 21355 25626 32995 38439 39594 42710 59391 64065 65990 76878 98985 115317 118782 128130 175111 178173 192195 197970 230634 270559 296955 350222 356346 384390 525333 541118 576585 593910 811677 875555 890865 1050666 1153170 1352795 1575999 1623354 1751110 1781730 2435031 2626665 2705590 3151998 4058385 4727997 4870062 5253330 7305093 7879995 8116770 9455994 12175155 14610186 15759990 23639985 24350310 28184329 36525465 47279970 56368658 73050930 84552987 140921645 169105974 253658961 281843290 422764935 507317922 760976883 845529870 1155557489 1268294805 1521953766 2311114978 2536589610 3466672467 3804884415 5777787445 6933344934 7609768830 10400017401 11555574890 17333362335 20800034802 31200052203 34666724670 52000087005 62400104406 104000174010 156000261015 312000522030