Search a number
-
+
310020312010000 = 2454105129497651
BaseRepresentation
bin100011001111101100011101…
…0100100100000110100010000
31111122200122121120210212012011
41012133120322210200310100
5311113333044333310000
63015205210514112304
7122205141224311414
oct10637307244406420
91448618546725164
10310020312010000
118a86696aa0a269
122a93001b27b694
13103caa3677c467
14567b0c5468d44
1525c9516b002ba
hex119f63a920d10

310020312010000 has 100 divisors (see below), whose sum is σ = 751304370505744. Its totient is φ = 123890130000000.

The previous prime is 310020312009973. The next prime is 310020312010007. The reversal of 310020312010000 is 10213020013.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×3100203120100002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (310020312010007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4238826 + ... + 25258825.

Almost surely, 2310020312010000 is an apocalyptic number.

It is an amenable number.

310020312010000 is an abundant number, since it is smaller than the sum of its proper divisors (441284058495744).

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

310020312010000 is a wasteful number, since it uses less digits than its factorization.

310020312010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29498730 (or 29498709 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 310020312010000 its reverse (10213020013), we get a palindrome (310030525030013).

The spelling of 310020312010000 in words is "three hundred ten trillion, twenty billion, three hundred twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1051 1250 2000 2102 2500 4204 5000 5255 8408 10000 10510 16816 21020 26275 42040 52550 84080 105100 131375 210200 262750 420400 525500 656875 1051000 1313750 2102000 2627500 5255000 10510000 29497651 58995302 117990604 147488255 235981208 294976510 471962416 589953020 737441275 1179906040 1474882550 2359812080 2949765100 3687206375 5899530200 7374412750 11799060400 14748825500 18436031875 29497651000 31002031201 36872063750 58995302000 62004062402 73744127500 124008124804 147488255000 155010156005 248016249608 294976510000 310020312010 496032499216 620040624020 775050780025 1240081248040 1550101560050 2480162496080 3100203120100 3875253900125 6200406240200 7750507800250 12400812480400 15501015600500 19376269500625 31002031201000 38752539001250 62004062402000 77505078002500 155010156005000 310020312010000