Search a number
-
+
10200021121212 = 22313181361241717
BaseRepresentation
bin1001010001101110000010…
…1000101011100010111100
31100010010001000021000011220
42110123200220223202330
52314104120401334322
633405454111513340
72101633014000216
oct224334050534274
940103030230156
1010200021121212
11328289401096a
1211889ba528850
1358cb1c961250
1427397dd4b5b6
1512a4d518a55c
hex946e0a2b8bc

10200021121212 has 48 divisors (see below), whose sum is σ = 25772429128992. Its totient is φ = 3121128426240.

The previous prime is 10200021121177. The next prime is 10200021121219. The reversal of 10200021121212 is 21212112000201.

It is a junction number, because it is equal to n+sod(n) for n = 10200021121191 and 10200021121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200021121219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180592623 + ... + 180649094.

It is an arithmetic number, because the mean of its divisors is an integer number (536925606854).

Almost surely, 210200021121212 is an apocalyptic number.

10200021121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200021121212 is an abundant number, since it is smaller than the sum of its proper divisors (15572408007780).

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

10200021121212 is a wasteful number, since it uses less digits than its factorization.

10200021121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361241918 (or 361241916 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10200021121212 its reverse (21212112000201), we get a palindrome (31412133121413).

The spelling of 10200021121212 in words is "ten trillion, two hundred billion, twenty-one million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 2172 2353 4706 7059 9412 14118 28236 361241717 722483434 1083725151 1444966868 2167450302 4334900604 4696142321 9392284642 14088426963 18784569284 28176853926 56353707852 65384750777 130769501554 196154252331 261539003108 392308504662 784617009324 850001760101 1700003520202 2550005280303 3400007040404 5100010560606 10200021121212