Search a number
-
+
1012222021122 = 2341331137113171
BaseRepresentation
bin11101011101011010010…
…00100100111000000010
310120202201111022102120000
432232231020210320002
5113041012314133442
62053001450500430
7133062543134454
oct16565510447002
93522644272500
101012222021122
1136030aa402a4
12144213134716
13745b54279c0
1436dc573a2d4
151b4e4740d4c
hexebad224e02

1012222021122 has 160 divisors (see below), whose sum is σ = 2539818699264. Its totient is φ = 299203372800.

The previous prime is 1012222021121. The next prime is 1012222021133. The reversal of 1012222021122 is 2211202222101.

It is a happy number.

It is a super-2 number, since 2×10122220211222 (a number of 25 digits) contains 22 as substring.

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 = 1012222021095 and 1012222021104.

It is not an unprimeable number, because it can be changed into a prime (1012222021121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8887597 + ... + 9000767.

Almost surely, 21012222021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012222021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269909349632).

1012222021122 is an abundant number, since it is smaller than the sum of its proper divisors (1527596678142).

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

1012222021122 is a wasteful number, since it uses less digits than its factorization.

1012222021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113366 (or 113357 counting only the distinct ones).

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

Adding to 1012222021122 its reverse (2211202222101), we get a palindrome (3223424243223).

The spelling of 1012222021122 in words is "one trillion, twelve billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 137 162 186 234 274 279 351 403 411 558 702 806 822 837 1053 1209 1233 1674 1781 2106 2418 2466 2511 3562 3627 3699 4247 5022 5343 7254 7398 8494 10686 10881 11097 12741 16029 21762 22194 25482 32058 32643 38223 48087 55211 65286 76446 96174 110422 113171 114669 144261 165633 226342 229338 288522 331266 339513 344007 496899 679026 688014 993798 1018539 1471223 1490697 2037078 2942446 2981394 3055617 3508301 4413669 4472091 6111234 7016602 8827338 8944182 9166851 10524903 13241007 15504427 18333702 21049806 26482014 31008854 31574709 39723021 45607913 46513281 63149418 79446042 91215826 93026562 94724127 119169063 136823739 139539843 189448254 201557551 238338126 273647478 279079686 284172381 403115102 410471217 418619529 480637237 568344762 604672653 820942434 837239058 961274474 1209345306 1231413651 1255858587 1441911711 1814017959 2462827302 2511717174 2883823422 3628035918 3694240953 4325735133 5442053877 6248284081 7388481906 8651470266 10884107754 12496568162 12977205399 16326161631 18744852243 25954410798 32652323262 37489704486 38931616197 56234556729 77863232394 112469113458 168703670187 337407340374 506111010561 1012222021122