Search a number
-
+
202122010116 = 2232131632939043
BaseRepresentation
bin1011110000111101101…
…0010001111000000100
3201022201020012222010200
42330033122101320010
511302421213310431
6232504212050500
720413525511265
oct2741732217004
9638636188120
10202122010116
11787a0672874
123320a303a30
13160a1b45370
149ad5c5a96c
1553ce8d7ee6
hex2f0f691e04

202122010116 has 144 divisors (see below), whose sum is σ = 555547452096. Its totient is φ = 61592078592.

The previous prime is 202122010087. The next prime is 202122010117. The reversal of 202122010116 is 611010221202.

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

It is not an unprimeable number, because it can be changed into a prime (202122010117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22346691 + ... + 22355733.

Almost surely, 2202122010116 is an apocalyptic number.

202122010116 is a gapful number since it is divisible by the number (26) 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 202122010116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277773726048).

202122010116 is an abundant number, since it is smaller than the sum of its proper divisors (353425441980).

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

202122010116 is a wasteful number, since it uses less digits than its factorization.

202122010116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 202122010116 its reverse (611010221202), we get a palindrome (813132231318).

The spelling of 202122010116 in words is "two hundred two billion, one hundred twenty-two million, ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 163 234 293 326 468 489 586 652 879 978 1172 1467 1758 1956 2119 2637 2934 3516 3809 4238 5274 5868 6357 7618 8476 9043 10548 11427 12714 15236 18086 19071 22854 25428 27129 34281 36172 38142 45708 47759 54258 68562 76284 81387 95518 108516 117559 137124 143277 162774 191036 235118 286554 325548 352677 429831 470236 573108 620867 705354 859662 1058031 1241734 1410708 1474009 1719324 1862601 2116062 2483468 2649599 2948018 3725202 4232124 4422027 5299198 5587803 5896036 7450404 7948797 8844054 10598396 11175606 13266081 15897594 17688108 19162117 22351212 23846391 26532162 31795188 34444787 38324234 47692782 53064324 57486351 68889574 76648468 95385564 103334361 114972702 137779148 172459053 206668722 229945404 310003083 344918106 413337444 431884637 620006166 689836212 863769274 1240012332 1295653911 1727538548 2591307822 3886961733 5182615644 5614500281 7773923466 11229000562 15547846932 16843500843 22458001124 33687001686 50530502529 67374003372 101061005058 202122010116