Search a number
-
+
2100196685652 = 22313103613121319
BaseRepresentation
bin11110100011111101011…
…110100011011101010100
321102202222022120212012120
4132203331132203131110
5233402200322420102
64244452251415540
7304506555165102
oct36437536433524
97382868525176
102100196685652
1173a76330580a
1229b0477545b0
13123080a3a650
1473915aacc72
153996e6196bc
hex1e8fd7a3754

2100196685652 has 96 divisors (see below), whose sum is σ = 5329773496320. Its totient is φ = 639806048640.

The previous prime is 2100196685633. The next prime is 2100196685681. The reversal of 2100196685652 is 2565866910012.

It is a happy number.

It is a super-2 number, since 2×21001966856522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100196685595 and 2100196685604.

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, 98502249 + ... + 98523567.

It is an arithmetic number, because the mean of its divisors is an integer number (55518473920).

Almost surely, 22100196685652 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 2100196685652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664886748160).

2100196685652 is an abundant number, since it is smaller than the sum of its proper divisors (3229576810668).

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

2100196685652 is a wasteful number, since it uses less digits than its factorization.

2100196685652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27573 (or 27571 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 2100196685652 in words is "two trillion, one hundred billion, one hundred ninety-six million, six hundred eighty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2678 4017 5356 6131 8034 12262 16068 18393 21319 24524 36786 42638 63957 73572 79703 85276 127914 159406 239109 255828 277147 318812 478218 554294 631493 831441 956436 1108588 1262986 1662882 1894479 2195857 2525972 3325764 3788958 4391714 6587571 7577916 8209409 8783428 13175142 16418818 24628227 26350284 28546141 32837636 49256454 57092282 85638423 98512908 114184564 130706789 171276846 261413578 342553692 392120367 522827156 784240734 1568481468 1699188257 3398376514 5097564771 6796753028 10195129542 13462799267 20390259084 26925598534 40388397801 53851197068 80776795602 161553591204 175016390471 350032780942 525049171413 700065561884 1050098342826 2100196685652