Search a number
-
+
312210100230 = 235747174118169
BaseRepresentation
bin1001000101100010010…
…11000001000000000110
31002211212110101101102120
410202301023001000012
520103401241201410
6355232145550410
731361600031240
oct4426113010006
91084773341376
10312210100230
1111045350a326
1250612645406
1323597675aa2
141117aa11090
1581c45d1570
hex48b12c1006

312210100230 has 128 divisors (see below), whose sum is σ = 875118366720. Its totient is φ = 69800002560.

The previous prime is 312210100201. The next prime is 312210100243. The reversal of 312210100230 is 32001012213.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 17174586 + ... + 17192754.

It is an arithmetic number, because the mean of its divisors is an integer number (6836862240).

Almost surely, 2312210100230 is an apocalyptic number.

312210100230 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 312210100230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437559183360).

312210100230 is an abundant number, since it is smaller than the sum of its proper divisors (562908266490).

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

312210100230 is a wasteful number, since it uses less digits than its factorization.

312210100230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19974.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312210100230 its reverse (32001012213), we get a palindrome (344211112443).

The spelling of 312210100230 in words is "three hundred twelve billion, two hundred ten million, one hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1741 1974 3290 3482 4935 5223 8705 9870 10446 12187 17410 18169 24374 26115 36338 36561 52230 54507 60935 73122 81827 90845 109014 121870 127183 163654 181690 182805 245481 254366 272535 365610 381549 409135 490962 545070 572789 635915 763098 818270 853943 1145578 1227405 1271830 1707886 1718367 1907745 2454810 2561829 2863945 3436734 3815490 4269715 5123658 5727890 5977601 8539430 8591835 11955202 12809145 17183670 17932803 25618290 29888005 31632229 35865606 59776010 63264458 89664015 94896687 158161145 179328030 189793374 221425603 316322290 442851206 474483435 664276809 948966870 1107128015 1328553618 1486714763 2214256030 2973429526 3321384045 4460144289 6642768090 7433573815 8920288578 10407003341 14867147630 20814006682 22300721445 31221010023 44601442890 52035016705 62442020046 104070033410 156105050115 312210100230