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315135024330 = 235789166310139
BaseRepresentation
bin1001001010111111000…
…00101101110011001010
31010010102022010220222210
410211133200231303022
520130344031234310
6400434313125550
731524224336610
oct4453740556312
91103368126883
10315135024330
11111714562075
12510aa0b98b6
13239426322c9
14113772736b0
1582e6295820
hex495f82dcca

315135024330 has 128 divisors (see below), whose sum is σ = 874694246400. Its totient is φ = 71171679744.

The previous prime is 315135024311. The next prime is 315135024343. The reversal of 315135024330 is 33420531513.

315135024330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 31076401 + ... + 31086539.

It is an arithmetic number, because the mean of its divisors is an integer number (6833548800).

Almost surely, 2315135024330 is an apocalyptic number.

315135024330 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 315135024330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437347123200).

315135024330 is an abundant number, since it is smaller than the sum of its proper divisors (559559222070).

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

315135024330 is a wasteful number, since it uses less digits than its factorization.

315135024330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11908.

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 315135024330 its reverse (33420531513), we get a palindrome (348555555843).

The spelling of 315135024330 in words is "three hundred fifteen billion, one hundred thirty-five million, twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 890 1246 1335 1663 1869 2670 3115 3326 3738 4989 6230 8315 9345 9978 10139 11641 16630 18690 20278 23282 24945 30417 34923 49890 50695 58205 60834 69846 70973 101390 116410 141946 148007 152085 174615 212919 296014 304170 349230 354865 425838 444021 709730 740035 888042 902371 1036049 1064595 1480070 1804742 2072098 2129190 2220105 2707113 3108147 4440210 4511855 5180245 5414226 6216294 6316597 9023710 10360490 12633194 13535565 15540735 16861157 18949791 27071130 31081470 31582985 33722314 37899582 50583471 63165970 84305785 94748955 101166942 118028099 168611570 189497910 236056198 252917355 354084297 505834710 590140495 708168594 1180280990 1500642973 1770421485 3001285946 3540842970 4501928919 7503214865 9003857838 10504500811 15006429730 21009001622 22509644595 31513502433 45019289190 52522504055 63027004866 105045008110 157567512165 315135024330