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311031020341132 = 2271316310335074747
BaseRepresentation
bin100011010111000011000110…
…1011110110100011110001100
31111210021021102120211212102221
41012232012031132310132030
5311231413012201404012
63021301402253225124
7122341151430342640
oct10656061536643614
91453237376755387
10311031020341132
11901165734698a3
122aa73a8b4921a4
131047213a4008c0
1456b3da5b3ac20
1525e596d4e0507
hex11ae18d7b478c

311031020341132 has 96 divisors (see below), whose sum is σ = 674675486008832. Its totient is φ = 122171952278016.

The previous prime is 311031020341123. The next prime is 311031020341163. The reversal of 311031020341132 is 231143020130113.

It is a super-2 number, since 2×3110310203411322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311031020341097 and 311031020341106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58752583 + ... + 63827329.

Almost surely, 2311031020341132 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 311031020341132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337337743004416).

311031020341132 is an abundant number, since it is smaller than the sum of its proper divisors (363644465667700).

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

311031020341132 is a wasteful number, since it uses less digits than its factorization.

311031020341132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075967 (or 5075965 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 311031020341132 its reverse (231143020130113), we get a palindrome (542174040471245).

The spelling of 311031020341132 in words is "three hundred eleven trillion, thirty-one billion, twenty million, three hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 163 182 326 364 652 1033 1141 2066 2119 2282 4132 4238 4564 7231 8476 13429 14462 14833 26858 28924 29666 53716 59332 94003 168379 188006 336758 376012 673516 1178653 2188927 2357306 4377854 4714612 5074747 8755708 10149494 15322489 20298988 30644978 35523229 61289956 65971711 71046458 131943422 142092916 263886844 461801977 827183761 923603954 1654367522 1847207908 3308735044 5242213651 5790286327 10484427302 10753388893 11580572654 20968854604 21506777786 23161145308 36695495557 43013555572 68148777463 73390991114 75273722251 136297554926 146781982228 150547444502 272595109852 301094889004 477041442241 854480825113 954082884482 1708961650226 1908165768964 3417923300452 5981365775791 11108250726469 11962731551582 22216501452938 23925463103164 44433002905876 77757755085283 155515510170566 311031020341132