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101020222212 = 223721337357179
BaseRepresentation
bin101111000010101000…
…1100100001100000100
3100122202021101000000120
41132011101210030010
53123342134102322
6114224045541540
710204242502200
oct1360521441404
9318667330016
10101020222212
113992a311158
12176b35748b0
1396abcaa220
144c64753b00
152963ab2a5c
hex1785464304

101020222212 has 144 divisors (see below), whose sum is σ = 303271536960. Its totient is φ = 25922550528.

The previous prime is 101020222207. The next prime is 101020222223. The reversal of 101020222212 is 212222020101.

It is a junction number, because it is equal to n+sod(n) for n = 101020222191 and 101020222200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104239 + ... + 461417.

It is an arithmetic number, because the mean of its divisors is an integer number (2106052340).

Almost surely, 2101020222212 is an apocalyptic number.

101020222212 is a gapful number since it is divisible by the number (12) 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 101020222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151635768480).

101020222212 is an abundant number, since it is smaller than the sum of its proper divisors (202251314748).

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

101020222212 is a wasteful number, since it uses less digits than its factorization.

101020222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357250 (or 357241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101020222212 its reverse (212222020101), we get a palindrome (313242242313).

The spelling of 101020222212 in words is "one hundred one billion, twenty million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 156 182 196 222 259 273 294 364 444 481 518 546 588 637 777 962 1036 1092 1274 1443 1554 1813 1911 1924 2548 2886 3108 3367 3626 3822 5439 5772 6734 7252 7644 10101 10878 13468 20202 21756 23569 40404 47138 70707 94276 141414 282828 357179 714358 1071537 1428716 2143074 2500253 4286148 4643327 5000506 7500759 9286654 10001012 13215623 13929981 15001518 17501771 18573308 26431246 27859962 30003036 32503289 35003542 39646869 52505313 52862492 55719924 65006578 70007084 79293738 92509361 97509867 105010626 130013156 158587476 171803099 185018722 195019734 210021252 227523023 277528083 343606198 370037444 390039468 455046046 515409297 555056166 647565527 682569069 687212396 910092092 1030818594 1110112332 1202621693 1295131054 1365138138 1942696581 2061637188 2405243386 2590262108 2730276276 3607865079 3885393162 4810486772 7215730158 7770786324 8418351851 14431460316 16836703702 25255055553 33673407404 50510111106 101020222212