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201102244344 = 23335961258691
BaseRepresentation
bin1011101101001010100…
…0001011100111111000
3201020002011100111111000
42323102220023213320
511243324133304334
6232215103005000
720346333605241
oct2732250134770
9636064314430
10201102244344
1178317a79741
1232b84899760
1315c6b7a7571
149a3a645cc8
155370100299
hex2ed2a0b9f8

201102244344 has 128 divisors (see below), whose sum is σ = 577400544000. Its totient is φ = 64817366400.

The previous prime is 201102244333. The next prime is 201102244373. The reversal of 201102244344 is 443442201102.

201102244344 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 224 + 434 + 4 = 666.

It is a super-2 number, since 2×2011022443442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648039 + ... + 906729.

It is an arithmetic number, because the mean of its divisors is an integer number (4510941750).

Almost surely, 2201102244344 is an apocalyptic number.

201102244344 is a gapful number since it is divisible by the number (24) 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 201102244344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288700272000).

201102244344 is an abundant number, since it is smaller than the sum of its proper divisors (376298299656).

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

201102244344 is a wasteful number, since it uses less digits than its factorization.

201102244344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258826 (or 258816 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201102244344 its reverse (443442201102), we get a palindrome (644544445446).

The spelling of 201102244344 in words is "two hundred one billion, one hundred two million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 61 72 108 118 122 177 183 216 236 244 354 366 472 488 531 549 708 732 1062 1098 1416 1464 1593 1647 2124 2196 3186 3294 3599 4248 4392 6372 6588 7198 10797 12744 13176 14396 21594 28792 32391 43188 64782 86376 97173 129564 194346 258691 259128 388692 517382 776073 777384 1034764 1552146 2069528 2328219 3104292 4656438 6208584 6984657 9312876 13969314 15262769 15780151 18625752 27938628 30525538 31560302 45788307 47340453 55877256 61051076 63120604 91576614 94680906 122102152 126241208 137364921 142021359 183153228 189361812 274729842 284042718 366306456 378723624 412094763 426064077 549459684 568085436 824189526 852128154 931028909 1098919368 1136170872 1648379052 1704256308 1862057818 2793086727 3296758104 3408512616 3724115636 5586173454 7448231272 8379260181 11172346908 16758520362 22344693816 25137780543 33517040724 50275561086 67034081448 100551122172 201102244344