Search a number
-
+
311430022334310 = 235112941577828319
BaseRepresentation
bin100011011001111100111001…
…1110110101000011101100110
31111211200102022201111020110010
41012303321303312220131212
5311304432141204144220
63022204551022511050
7122412035163334035
oct10663716366503546
91454612281436403
10311430022334310
119025a804709970
122ab19284435486
13104a095704c059
1456c941755071c
15260102249d1e0
hex11b3e73da8766

311430022334310 has 128 divisors (see below), whose sum is σ = 843700006195200. Its totient is φ = 72877256721920.

The previous prime is 311430022334287. The next prime is 311430022334317. The reversal of 311430022334310 is 13433220034113.

It is a super-2 number, since 2×3114300223343102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311430022334317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35868331 + ... + 43696649.

It is an arithmetic number, because the mean of its divisors is an integer number (6591406298400).

Almost surely, 2311430022334310 is an apocalyptic number.

311430022334310 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 311430022334310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421850003097600).

311430022334310 is an abundant number, since it is smaller than the sum of its proper divisors (532269983860890).

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

311430022334310 is a wasteful number, since it uses less digits than its factorization.

311430022334310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832526.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 311430022334310 its reverse (13433220034113), we get a palindrome (324863242368423).

The spelling of 311430022334310 in words is "three hundred eleven trillion, four hundred thirty billion, twenty-two million, three hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4157 4785 8314 9570 12471 20785 24942 41570 45727 62355 91454 120553 124710 137181 228635 241106 274362 361659 457270 602765 685905 723318 1205530 1326083 1371810 1808295 2652166 3616590 3978249 6630415 7828319 7956498 13260830 15656638 19891245 23484957 39141595 39782490 46969914 78283190 86111509 117424785 172223018 227021251 234849570 258334527 430557545 454042502 516669054 681063753 861115090 1135106255 1291672635 1362127506 2270212510 2497233761 2583345270 3405318765 4994467522 6810637530 7491701283 12486168805 14983402566 24972337610 32542322083 37458506415 65084644166 74917012830 97626966249 162711610415 195253932498 325423220830 357965542913 488134831245 715931085826 943727340407 976269662490 1073896628739 1789827714565 1887454680814 2147793257478 2831182021221 3579655429130 4718636702035 5369483143695 5662364042442 9437273404070 10381000744477 10738966287390 14155910106105 20762001488954 28311820212210 31143002233431 51905003722385 62286004466862 103810007444770 155715011167155 311430022334310