Search a number
-
+
107322471312 = 2437541958943
BaseRepresentation
bin110001111110011101…
…0101111001110010000
3101021000111011102111220
41203330322233032100
53224244023040222
6121145301005040
710516356645240
oct1437472571620
9337014142456
10107322471312
1141573812191
12189720b3780
13a1748806c4
1452a175db20
152bd2000b5c
hex18fceaf390

107322471312 has 80 divisors (see below), whose sum is σ = 316920668160. Its totient is φ = 30657384576.

The previous prime is 107322471307. The next prime is 107322471329. The reversal of 107322471312 is 213174223701.

It is a super-2 number, since 2×1073224713122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791313 + ... + 1850255.

It is an arithmetic number, because the mean of its divisors is an integer number (3961508352).

Almost surely, 2107322471312 is an apocalyptic number.

107322471312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107322471312 is an abundant number, since it is smaller than the sum of its proper divisors (209598196848).

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

107322471312 is a wasteful number, since it uses less digits than its factorization.

107322471312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64380 (or 64374 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 107322471312 in words is "one hundred seven billion, three hundred twenty-two million, four hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5419 10838 16257 21676 32514 37933 43352 58943 65028 75866 86704 113799 117886 130056 151732 176829 227598 235772 260112 303464 353658 412601 455196 471544 606928 707316 825202 910392 943088 1237803 1414632 1650404 1820784 2475606 2829264 3300808 4951212 6601616 9902424 19804848 319412117 638824234 958236351 1277648468 1916472702 2235884819 2555296936 3832945404 4471769638 5110593872 6707654457 7665890808 8943539276 13415308914 15331781616 17887078552 26830617828 35774157104 53661235656 107322471312