Search a number
-
+
101010322220 = 2251723103125407
BaseRepresentation
bin101111000010010101…
…1110011001100101100
3100122201120202000210012
41132010223303030230
53123332120302340
6114223053432352
710204062400223
oct1360453631454
9318646660705
10101010322220
113992476a145
12176b019b6b8
1396a9c22042
144c632d7cba
152962ca9565
hex1784af332c

101010322220 has 96 divisors (see below), whose sum is σ = 236641886208. Its totient is φ = 36020616192.

The previous prime is 101010322219. The next prime is 101010322247. The reversal of 101010322220 is 22223010101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101010322195 and 101010322204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742757 + ... + 868163.

It is an arithmetic number, because the mean of its divisors is an integer number (2465019648).

Almost surely, 2101010322220 is an apocalyptic number.

101010322220 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 101010322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320943104).

101010322220 is an abundant number, since it is smaller than the sum of its proper divisors (135631563988).

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

101010322220 is a wasteful number, since it uses less digits than its factorization.

101010322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125559 (or 125557 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101010322220 its reverse (22223010101), we get a palindrome (123233332321).

The spelling of 101010322220 in words is "one hundred one billion, ten million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 103 115 170 206 230 340 391 412 460 515 782 1030 1564 1751 1955 2060 2369 3502 3910 4738 7004 7820 8755 9476 11845 17510 23690 35020 40273 47380 80546 125407 161092 201365 250814 402730 501628 627035 805460 1254070 2131919 2508140 2884361 4263838 5768722 8527676 10659595 11537444 12916921 14421805 21319190 25833842 28843610 42638380 49034137 51667684 57687220 64584605 98068274 129169210 196136548 219587657 245170685 258338420 297089183 439175314 490341370 594178366 878350628 980682740 1097938285 1188356732 1485445915 2195876570 2970891830 4391753140 5050516111 5941783660 10101032222 20202064444 25252580555 50505161110 101010322220