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312301110030 = 235713251455761
BaseRepresentation
bin1001000101101101001…
…10001100001100001110
31002212002210122011101220
410202312212030030032
520104043041010110
6355245200344210
731364053431030
oct4426646141416
91085083564356
10312301110030
1111049a920338
1250639015066
13235b048c540
1411188b41c50
1581cc5ac370
hex48b698c30e

312301110030 has 128 divisors (see below), whose sum is σ = 926166721536. Its totient is φ = 65629440000.

The previous prime is 312301109927. The next prime is 312301110049. The reversal of 312301110030 is 30011103213.

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

It is a junction number, because it is equal to n+sod(n) for n = 312301109991 and 312301110009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457350 + ... + 913110.

It is an arithmetic number, because the mean of its divisors is an integer number (7235677512).

Almost surely, 2312301110030 is an apocalyptic number.

312301110030 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 312301110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463083360768).

312301110030 is an abundant number, since it is smaller than the sum of its proper divisors (613865611506).

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

312301110030 is a wasteful number, since it uses less digits than its factorization.

312301110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456042.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 312301110030 its reverse (30011103213), we get a palindrome (342312213243).

The spelling of 312301110030 in words is "three hundred twelve billion, three hundred one million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 251 273 390 455 502 546 753 910 1255 1365 1506 1757 2510 2730 3263 3514 3765 5271 6526 7530 8785 9789 10542 16315 17570 19578 22841 26355 32630 45682 48945 52710 68523 97890 114205 137046 228410 342615 455761 685230 911522 1367283 2278805 2734566 3190327 4557610 5924893 6380654 6836415 9570981 11849786 13672830 15951635 17774679 19141962 29624465 31903270 35549358 41474251 47854905 59248930 82948502 88873395 95709810 114396011 124422753 177746790 207371255 228792022 248845506 343188033 414742510 571980055 622113765 686376066 800772077 1143960110 1244227530 1487148143 1601544154 1715940165 2402316231 2974296286 3431880330 4003860385 4461444429 4804632462 7435740715 8007720770 8922888858 10410037001 12011581155 14871481430 20820074002 22307222145 24023162310 31230111003 44614444290 52050185005 62460222006 104100370010 156150555015 312301110030