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313310120232 = 233193144949363
BaseRepresentation
bin1001000111100101011…
…11010000100100101000
31002221201010021012012010
410203302233100210220
520113124342321412
6355533243115520
731431055036524
oct4436257204450
91087633235163
10313310120232
1111096843866a
125087ab12ba0
13237115328b5
1411242b56d84
15823ae6d33c
hex48f2bd0928

313310120232 has 128 divisors (see below), whose sum is σ = 853009920000. Its totient is φ = 95533240320.

The previous prime is 313310120191. The next prime is 313310120273. The reversal of 313310120232 is 232021013313.

It is an interprime number because it is at equal distance from previous prime (313310120191) and next prime (313310120273).

It is a junction number, because it is equal to n+sod(n) for n = 313310120199 and 313310120208.

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 31 ways as a sum of consecutive naturals, for example, 6322383 + ... + 6371745.

It is an arithmetic number, because the mean of its divisors is an integer number (6664140000).

Almost surely, 2313310120232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313310120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426504960000).

313310120232 is an abundant number, since it is smaller than the sum of its proper divisors (539699799768).

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

313310120232 is a wasteful number, since it uses less digits than its factorization.

313310120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49871 (or 49867 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313310120232 its reverse (232021013313), we get a palindrome (545331133545).

The spelling of 313310120232 in words is "three hundred thirteen billion, three hundred ten million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 449 456 589 744 898 1178 1347 1767 1796 2356 2694 3534 3592 4712 5388 7068 8531 10776 13919 14136 17062 25593 27838 34124 41757 49363 51186 55676 68248 83514 98726 102372 111352 148089 167028 197452 204744 264461 296178 334056 394904 528922 592356 793383 937897 1057844 1184712 1530253 1586766 1875794 2115688 2813691 3060506 3173532 3751588 4590759 5627382 6121012 6347064 7503176 9181518 11254764 12242024 18363036 22163987 22509528 29074807 36726072 44327974 58149614 66491961 87224421 88655948 116299228 132983922 174448842 177311896 232598456 265967844 348897684 421115753 531935688 687083597 697795368 842231506 1263347259 1374167194 1684463012 2061250791 2526694518 2748334388 3368926024 4122501582 5053389036 5496668776 8245003164 10106778072 13054588343 16490006328 26109176686 39163765029 52218353372 78327530058 104436706744 156655060116 313310120232