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1012212210222 = 232298337961643
BaseRepresentation
bin11101011101011001000…
…11001001101000101110
310120202200210211222112100
432232230203021220232
5113041002311211342
62053000500315530
7133062363553323
oct16565443115056
93522623758470
101012212210222
1136030544a214
1214420b9a2ba6
13745b33a1235
1436dc4304b4a
151b4e3953e4c
hexebac8c9a2e

1012212210222 has 96 divisors (see below), whose sum is σ = 2302181481600. Its totient is φ = 320990112576.

The previous prime is 1012212210209. The next prime is 1012212210241. The reversal of 1012212210222 is 2220122122101.

It is a happy number.

1012212210222 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 221 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012212210195 and 1012212210204.

It is a congruent number.

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, 16389733 + ... + 16451375.

It is an arithmetic number, because the mean of its divisors is an integer number (23981057100).

Almost surely, 21012212210222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012212210222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151090740800).

1012212210222 is an abundant number, since it is smaller than the sum of its proper divisors (1289969271378).

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

1012212210222 is a wasteful number, since it uses less digits than its factorization.

1012212210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62142 (or 62139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1012212210222 its reverse (2220122122101), we get a palindrome (3232334332323).

The spelling of 1012212210222 in words is "one trillion, twelve billion, two hundred twelve million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 379 498 522 747 758 1137 1494 2274 2407 3411 4814 6822 7221 10991 14442 21663 21982 31457 32973 43326 61643 62914 65946 94371 98919 123286 184929 188742 197838 283113 369858 554787 566226 912253 1109574 1787647 1824506 2736759 3575294 5116369 5362941 5473518 8210277 10232738 10725882 15349107 16088823 16420554 23362697 30698214 32177646 46047321 46725394 70088091 92094642 140176182 148374701 210264273 296749402 420528546 445124103 677518213 890248206 1335372309 1355036426 1939103851 2032554639 2670744618 3878207702 4065109278 5817311553 6097663917 11634623106 12195327834 17451934659 34903869318 56234011679 112468023358 168702035037 337404070074 506106105111 1012212210222