Search a number
-
+
10053121020 = 22351783118747
BaseRepresentation
bin10010101110011011…
…00111001111111100
3221221121201110110120
421113031213033330
5131042044333040
64341321134540
7504061055505
oct112715471774
927847643416
1010053121020
1142997a7688
121b4692a450
13c429c9327
146b522dbac
153dc8a27d0
hex2573673fc

10053121020 has 96 divisors (see below), whose sum is σ = 30163891968. Its totient is φ = 2492716032.

The previous prime is 10053121009. The next prime is 10053121021. The reversal of 10053121020 is 2012135001.

It is a super-3 number, since 3×100531210203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053121021) 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, 25287 + ... + 144033.

It is an arithmetic number, because the mean of its divisors is an integer number (314207208).

Almost surely, 210053121020 is an apocalyptic number.

10053121020 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 10053121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081945984).

10053121020 is an abundant number, since it is smaller than the sum of its proper divisors (20110770948).

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

10053121020 is a wasteful number, since it uses less digits than its factorization.

10053121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118859 (or 118857 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10053121020 its reverse (2012135001), we get a palindrome (12065256021).

The spelling of 10053121020 in words is "ten billion, fifty-three million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 83 85 102 166 170 204 249 255 332 340 415 498 510 830 996 1020 1245 1411 1660 2490 2822 4233 4980 5644 7055 8466 14110 16932 21165 28220 42330 84660 118747 237494 356241 474988 593735 712482 1187470 1424964 1781205 2018699 2374940 3562410 4037398 6056097 7124820 8074796 9856001 10093495 12112194 19712002 20186990 24224388 29568003 30280485 39424004 40373980 49280005 59136006 60560970 98560010 118272012 121121940 147840015 167552017 197120020 295680030 335104034 502656051 591360060 670208068 837760085 1005312102 1675520170 2010624204 2513280255 3351040340 5026560510 10053121020