Search a number
-
+
101211103020 = 223523307238897
BaseRepresentation
bin101111001000010100…
…1101101111100101100
3100200020120112202021010
41132100221231330230
53124240020244040
6114255025105220
710212051116046
oct1362051557454
9320216482233
10101211103020
1139a18035795
1217747488210
13970c6c0851
144c81c40a96
152975719e80
hex1790a6df2c

101211103020 has 96 divisors (see below), whose sum is σ = 296676914688. Its totient is φ = 25731965952.

The previous prime is 101211102991. The next prime is 101211103031. The reversal of 101211103020 is 20301112101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101211102987 and 101211103005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304212 + ... + 543108.

It is an arithmetic number, because the mean of its divisors is an integer number (3090384528).

Almost surely, 2101211103020 is an apocalyptic number.

101211103020 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 101211103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148338457344).

101211103020 is an abundant number, since it is smaller than the sum of its proper divisors (195465811668).

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

101211103020 is a wasteful number, since it uses less digits than its factorization.

101211103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239239 (or 239237 counting only the distinct ones).

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

Adding to 101211103020 its reverse (20301112101), we get a palindrome (121512215121).

The spelling of 101211103020 in words is "one hundred one billion, two hundred eleven million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 307 345 460 614 690 921 1228 1380 1535 1842 3070 3684 4605 6140 7061 9210 14122 18420 21183 28244 35305 42366 70610 84732 105915 141220 211830 238897 423660 477794 716691 955588 1194485 1433382 2388970 2866764 3583455 4777940 5494631 7166910 10989262 14333820 16483893 21978524 27473155 32967786 54946310 65935572 73341379 82419465 109892620 146682758 164838930 220024137 293365516 329677860 366706895 440048274 733413790 880096548 1100120685 1466827580 1686851717 2200241370 3373703434 4400482740 5060555151 6747406868 8434258585 10121110302 16868517170 20242220604 25302775755 33737034340 50605551510 101211103020