Search a number
-
+
103220143000104 = 233131792963623771
BaseRepresentation
bin10111011110000011001111…
…111101010000101000101000
3111112110202020020110220202010
4113132003033331100220220
5102012124323102000404
61003310402402435520
730512260240054224
oct2736031775205050
9445422206426663
10103220143000104
112a986464864179
12b6b0909062ba0
13457980518a690
141b6bc4b097784
15bdeed5a4e189
hex5de0cff50a28

103220143000104 has 128 divisors (see below), whose sum is σ = 279547663449600. Its totient is φ = 31571903973120.

The previous prime is 103220143000081. The next prime is 103220143000127. The reversal of 103220143000104 is 401000341022301.

It is an interprime number because it is at equal distance from previous prime (103220143000081) and next prime (103220143000127).

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, 165165739 + ... + 165789509.

It is an arithmetic number, because the mean of its divisors is an integer number (2183966120700).

Almost surely, 2103220143000104 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 103220143000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139773831724800).

103220143000104 is an abundant number, since it is smaller than the sum of its proper divisors (176327520449496).

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

103220143000104 is a wasteful number, since it uses less digits than its factorization.

103220143000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626935 (or 626931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103220143000104 its reverse (401000341022301), we get a palindrome (504220484022405).

The spelling of 103220143000104 in words is "one hundred three trillion, two hundred twenty billion, one hundred forty-three million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 179 312 358 537 716 1074 1432 2148 2327 2963 4296 4654 5926 6981 8889 9308 11852 13962 17778 18616 23704 27924 35556 38519 55848 71112 77038 115557 154076 231114 308152 462228 530377 623771 924456 1060754 1247542 1591131 1871313 2121508 2495084 3182262 3742626 4243016 4990168 6364524 6894901 7485252 8109023 12729048 13789802 14970504 16218046 20684703 24327069 27579604 32436092 41369406 48654138 55159208 64872184 82738812 97308276 111655009 165477624 194616552 223310018 334965027 446620036 669930054 893240072 1339860108 1451515117 1848233473 2679720216 2903030234 3696466946 4354545351 5544700419 5806060468 7392933892 8709090702 11089400838 11612120936 14785867784 17418181404 22178801676 24027035149 34836362808 44357603352 48054070298 72081105447 96108140596 144162210894 192216281192 288324421788 330833791667 576648843576 661667583334 992501375001 1323335166668 1985002750002 2646670333336 3970005500004 4300839291671 7940011000008 8601678583342 12902517875013 17203357166684 25805035750026 34406714333368 51610071500052 103220143000104