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1002122220222 = 23523498717977
BaseRepresentation
bin11101001010100110010…
…00111001001010111110
310112210122121202101100000
432211103020321022332
5112404321242021342
62044211341015130
7132254344220004
oct16452310711276
93483577671300
101002122220222
11356aa7960402
121422748544a6
1373665b66556
1436708238a74
151b102c1c44c
hexe9532392be

1002122220222 has 96 divisors (see below), whose sum is σ = 2350183110912. Its totient is φ = 319435389504.

The previous prime is 1002122220217. The next prime is 1002122220263. The reversal of 1002122220222 is 2220222212001.

1002122220222 is a `hidden beast` number, since 10 + 0 + 212 + 2 + 220 + 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 = 1002122220195 and 1002122220204.

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, 55735698 + ... + 55753674.

It is an arithmetic number, because the mean of its divisors is an integer number (24481074072).

Almost surely, 21002122220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002122220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175091555456).

1002122220222 is an abundant number, since it is smaller than the sum of its proper divisors (1348060890690).

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

1002122220222 is a wasteful number, since it uses less digits than its factorization.

1002122220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23004 (or 22992 counting only the distinct ones).

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

Adding to 1002122220222 its reverse (2220222212001), we get a palindrome (3222344432223).

The spelling of 1002122220222 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1863 3726 4987 5589 9974 11178 14961 17977 29922 35954 44883 53931 89766 107862 114701 134649 161793 229402 269298 323586 344103 403947 413471 485379 688206 807894 826942 970758 1032309 1211841 1240413 1456137 2064618 2423682 2480826 2912274 3096927 3721239 4368411 6193854 7442478 8736822 9290781 11163717 18581562 22327434 27872343 33491151 55744686 66982302 89651299 100473453 179302598 200946906 268953897 537907794 806861691 1613723382 2061979877 2420585073 4123959754 4841170146 6185939631 7261755219 12371879262 14523510438 18557818893 21785265657 37115637786 43570531314 55673456679 111346913358 167020370037 334040740074 501061110111 1002122220222