Search a number
-
+
202001201010 = 232572167274283
BaseRepresentation
bin1011110000100000110…
…1011011011101110010
3201022101210220020012100
42330020031123131302
511302144301413020
6232444214441230
720410530610200
oct2741015333562
9638353806170
10202001201010
1178739459134
1233195963216
1316082ac709b
149ac3bb0070
1553c3ec2a90
hex2f0835b772

202001201010 has 144 divisors (see below), whose sum is σ = 614611198656. Its totient is φ = 45895058496.

The previous prime is 202001200997. The next prime is 202001201011. The reversal of 202001201010 is 10102100202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202001200983 and 202001201001.

It is not an unprimeable number, because it can be changed into a prime (202001201011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599329 + ... + 873611.

It is an arithmetic number, because the mean of its divisors is an integer number (4268133324).

Almost surely, 2202001201010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202001201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307305599328).

202001201010 is an abundant number, since it is smaller than the sum of its proper divisors (412609997646).

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

202001201010 is a wasteful number, since it uses less digits than its factorization.

202001201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274477 (or 274467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202001201010 its reverse (10102100202), we get a palindrome (212103301212).

The spelling of 202001201010 in words is "two hundred two billion, one million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 167 210 245 294 315 334 441 490 501 630 735 835 882 1002 1169 1470 1503 1670 2205 2338 2505 3006 3507 4410 5010 5845 7014 7515 8183 10521 11690 15030 16366 17535 21042 24549 35070 40915 49098 52605 73647 81830 105210 122745 147294 245490 274283 368235 548566 736470 822849 1371415 1645698 1919981 2468547 2742830 3839962 4114245 4937094 5759943 8228490 9599905 11519886 12342735 13439867 17279829 19199810 24685470 26879734 28799715 34559658 40319601 45805261 57599430 67199335 80639202 86399145 91610522 120958803 134398670 137415783 172798290 201598005 229026305 241917606 274831566 320636827 403196010 412247349 458052610 604794015 641273654 687078915 824494698 961910481 1209588030 1374157830 1603184135 1923820962 2061236745 2244457789 2885731443 3206368270 4122473490 4488915578 4809552405 5771462886 6733373367 9619104810 11222288945 13466746734 14428657215 20200120101 22444577890 28857314430 33666866835 40400240202 67333733670 101000600505 202001201010