Search a number
-
+
1210020012020 = 2252341109358699
BaseRepresentation
bin10001100110111010110…
…100000001111111110100
311021200021101010110102202
4101212322310001333310
5124311110110341040
62323513040124032
7153264265254041
oct21467264017764
94250241113382
101210020012020
1142719182a466
12176615306618
138a148490bc1
14427cb1ba1c8
152171e6ed015
hex119bad01ff4

1210020012020 has 96 divisors (see below), whose sum is σ = 2718724780800. Its totient is φ = 451251440640.

The previous prime is 1210020012011. The next prime is 1210020012023. The reversal of 1210020012020 is 202100200121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1210020011992 and 1210020012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210020012023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20584631 + ... + 20643329.

It is an arithmetic number, because the mean of its divisors is an integer number (28320049800).

Almost surely, 21210020012020 is an apocalyptic number.

1210020012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210020012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359362390400).

1210020012020 is an abundant number, since it is smaller than the sum of its proper divisors (1508704768780).

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

1210020012020 is a wasteful number, since it uses less digits than its factorization.

1210020012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59865 (or 59863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1210020012020 its reverse (202100200121), we get a palindrome (1412120212141).

The spelling of 1210020012020 in words is "one trillion, two hundred ten billion, twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1093 1886 2186 3772 4372 4715 5465 9430 10930 18860 21860 25139 44813 50278 58699 89626 100556 117398 125695 179252 224065 234796 251390 293495 448130 502780 586990 896260 1030699 1173980 1350077 2061398 2406659 2700154 4122796 4813318 5153495 5400308 6750385 9626636 10306990 12033295 13500770 20613980 24066590 27001540 48133180 55353157 64158007 110706314 128316014 221412628 256632028 276765785 320790035 553531570 641580070 1107063140 1283160140 1475634161 2630478287 2951268322 5260956574 5902536644 7378170805 10521913148 13152391435 14756341610 26304782870 29512683220 52609565740 60501000601 121002001202 242004002404 302505003005 605010006010 1210020012020