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20122100222202 = 232113714918434023
BaseRepresentation
bin1001001001101000010101…
…01000101100100011111010
32122020122122202120110101200
410210310022220230203322
510114140030124102302
6110443544253355030
74144526254545036
oct444641250544372
978218582513350
1020122100222202
116458809aa2190
12230b96a798a76
13b2c676636124
144d7cb44ab1c6
1524d64e3e981c
hex124d0aa2c8fa

20122100222202 has 96 divisors (see below), whose sum is σ = 49174602422400. Its totient is φ = 5892988152960.

The previous prime is 20122100222149. The next prime is 20122100222251. The reversal of 20122100222202 is 20222200122102.

20122100222202 is a `hidden beast` number, since 20 + 1 + 221 + 0 + 0 + 222 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8125438 + ... + 10308585.

It is an arithmetic number, because the mean of its divisors is an integer number (512235441900).

Almost surely, 220122100222202 is an apocalyptic number.

20122100222202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20122100222202 is an abundant number, since it is smaller than the sum of its proper divisors (29052502200198).

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

20122100222202 is a wasteful number, since it uses less digits than its factorization.

20122100222202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18434228 (or 18434225 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20122100222202 its reverse (20222200122102), we get a palindrome (40344300344304).

It can be divided in two parts, 20122100 and 222202, that added together give a palindrome (20344302).

The spelling of 20122100222202 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 149 198 222 298 333 407 447 666 814 894 1221 1341 1639 2442 2682 3278 3663 4917 5513 7326 9834 11026 14751 16539 29502 33078 49617 60643 99234 121286 181929 363858 545787 1091574 18434023 36868046 55302069 110604138 165906207 202774253 331812414 405548506 608322759 682058851 1216645518 1364117702 1824968277 2046176553 2746669427 3649936554 4092353106 5493338854 6138529659 7502647361 8240008281 12277059318 15005294722 16480016562 22507942083 24720024843 30213363697 45015884166 49440049686 60426727394 67523826249 90640091091 101626768799 135047652498 181280182182 203253537598 271920273273 304880306397 543840546546 609760612794 914640919191 1117894456789 1829281838382 2235788913578 3353683370367 6707366740734 10061050111101 20122100222202