Search a number
-
+
10210211202000 = 243532511767751
BaseRepresentation
bin1001010010010100000000…
…0000110000001111010000
31100011002100011200202010110
42110211000000300033100
52314241003031431000
633414301204401320
72102443360154445
oct224450000601720
940132304622113
1010210211202000
113287143053437
12118a9830a6240
13590a84b41b54
1427426942d9cc
1512a8cea93850
hex949400303d0

10210211202000 has 160 divisors (see below), whose sum is σ = 32919517373184. Its totient is φ = 2722574400000.

The previous prime is 10210211201999. The next prime is 10210211202007. The reversal of 10210211202000 is 20211201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210211202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150668125 + ... + 150735875.

Almost surely, 210210211202000 is an apocalyptic number.

10210211202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210211202000 is an abundant number, since it is smaller than the sum of its proper divisors (22709306171184).

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

10210211202000 is a wasteful number, since it uses less digits than its factorization.

10210211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92894 (or 92878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210211202000 its reverse (20211201201), we get a palindrome (10230422403201).

The spelling of 10210211202000 in words is "ten trillion, two hundred ten billion, two hundred eleven million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 25117 50234 67751 75351 100468 125585 135502 150702 200936 203253 251170 271004 301404 338755 376755 401872 406506 502340 542008 602808 627925 677510 753510 813012 1004680 1016265 1084016 1205616 1255850 1355020 1507020 1626024 1693775 1883775 2009360 2032530 2511700 2710040 3014040 3139625 3252048 3387550 3767550 4065060 5023400 5081325 5420080 6028080 6279250 6775100 7535100 8130120 8468875 9418875 10046800 10162650 12558500 13550200 15070200 16260240 16937750 18837750 20325300 25117000 25406625 27100400 30140400 33875500 37675500 40650600 50234000 50813250 67751000 75351000 81301200 101626500 135502000 150702000 203253000 406506000 1701701867 3403403734 5105105601 6806807468 8508509335 10210211202 13613614936 17017018670 20420422404 25525528005 27227229872 34034037340 40840844808 42542546675 51051056010 68068074680 81681689616 85085093350 102102112020 127627640025 136136149360 170170186700 204204224040 212712733375 255255280050 340340373400 408408448080 425425466750 510510560100 638138200125 680680746800 850850933500 1021021120200 1276276400250 1701701867000 2042042240400 2552552800500 3403403734000 5105105601000 10210211202000