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101102213212 = 2271113210119231
BaseRepresentation
bin101111000101000101…
…0010101100001011100
3100122221222122120112021
41132022022111201130
53124024131310322
6114240135145524
710206256430050
oct1361212254134
9318858576467
10101102213212
1139971622210
1217716b152a4
1396c2c86900
144c715b7c60
15296adab4c7
hex178a29585c

101102213212 has 144 divisors (see below), whose sum is σ = 241237592064. Its totient is φ = 35998560000.

The previous prime is 101102213197. The next prime is 101102213239. The reversal of 101102213212 is 212312201101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5247637 + ... + 5266867.

It is an arithmetic number, because the mean of its divisors is an integer number (1675261056).

Almost surely, 2101102213212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120618796032).

101102213212 is an abundant number, since it is smaller than the sum of its proper divisors (140135378852).

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

101102213212 is a wasteful number, since it uses less digits than its factorization.

101102213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19380 (or 19365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101102213212 its reverse (212312201101), we get a palindrome (313414414313).

The spelling of 101102213212 in words is "one hundred one billion, one hundred two million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 169 182 202 286 308 338 364 404 572 676 707 1001 1111 1183 1313 1414 1859 2002 2222 2366 2626 2828 3718 4004 4444 4732 5252 7436 7777 9191 13013 14443 15554 17069 18382 19231 26026 28886 31108 34138 36764 38462 52052 57772 68276 76924 101101 119483 134617 187759 202202 211541 238966 250003 269234 375518 404404 423082 477932 500006 538468 751036 846164 1000012 1314313 1480787 1750021 1942331 2628626 2750033 2961574 3250039 3500042 3884662 5257252 5500066 5923148 6500078 7000084 7769324 11000132 13000156 13596317 19250231 21365641 22750273 25250303 27192634 35750429 38500462 42731282 45500546 50500606 54385268 71500858 77000924 85462564 91001092 101001212 143001716 149559487 176752121 250253003 277753333 299118974 328253939 353504242 500506006 555506666 598237948 656507878 707008484 1001012012 1111013332 1313015756 1944273331 2297777573 3610793329 3888546662 4595555146 7221586658 7777093324 9191110292 14443173316 25275553303 50551106606 101102213212