Search a number
-
+
201021310152 = 233213231532919
BaseRepresentation
bin1011101100110111001…
…1011100010011001000
3201012212112001121122100
42323031303130103020
511243142423411102
6232203052153400
720344331641425
oct2731563342310
9635775047570
10201021310152
117828631a683
1232b61768860
1315c57aaac00
149a2d9b8d4c
155367e64a1c
hex2ecdcdc4c8

201021310152 has 144 divisors (see below), whose sum is σ = 608552006400. Its totient is φ = 59857349760.

The previous prime is 201021310109. The next prime is 201021310153. The reversal of 201021310152 is 251013120102.

201021310152 is a `hidden beast` number, since 201 + 0 + 2 + 1 + 310 + 152 = 666.

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 (201021310153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110749 + ... + 643667.

It is an arithmetic number, because the mean of its divisors is an integer number (4226055600).

Almost surely, 2201021310152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021310152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304276003200).

201021310152 is an abundant number, since it is smaller than the sum of its proper divisors (407530696248).

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

201021310152 is a wasteful number, since it uses less digits than its factorization.

201021310152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532988 (or 532968 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 201021310152 its reverse (251013120102), we get a palindrome (452034430254).

The spelling of 201021310152 in words is "two hundred one billion, twenty-one million, three hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 169 186 234 248 279 312 338 372 403 468 507 558 676 744 806 936 1014 1116 1209 1352 1521 1612 2028 2232 2418 3042 3224 3627 4056 4836 5239 6084 7254 9672 10478 12168 14508 15717 20956 29016 31434 41912 47151 62868 94302 125736 188604 377208 532919 1065838 1598757 2131676 3197514 4263352 4796271 6395028 6927947 9592542 12790056 13855894 16520489 19185084 20783841 27711788 33040978 38370168 41567682 49561467 55423576 62351523 66081956 83135364 90063311 99122934 124703046 132163912 148684401 166270728 180126622 198245868 214766357 249406092 270189933 297368802 360253244 396491736 429532714 498812184 540379866 594737604 644299071 720506488 810569799 859065428 1080759732 1189475208 1288598142 1621139598 1718130856 1932897213 2161519464 2577196284 2791962641 3242279196 3865794426 5154392568 5583925282 6484558392 7731588852 8375887923 11167850564 15463177704 16751775846 22335701128 25127663769 33503551692 50255327538 67007103384 100510655076 201021310152